mathematics MCQs – Page 37

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

1801. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
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A. 5/9

B. 9-Aug

C. 9-Jul

D. 9-Apr

1802. The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?
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A. 0.5834

B. 0.5904

C. 0.4869

D. 0.6234

1803. If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is__________?
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A. 19/52

B. 17/52

C. 13-May

D. 4/13
1804. From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is_________?
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A. 15/26

B. Mar-52

C. 1/26

D. 26-Nov

1805. The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?
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A. 17/25

B. 21/25

C. 25-Apr

D. 25-Aug

1806. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
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A. 62/63

B. Jan-63

C. 125/126

D. 1/126
1807. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
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A. 1/216

B. 1/36

C. 12-May

D. 9-May

1808. If a number is chosen at random from the set {1, 2, 3, ., 100}, then the probability that the chosen number is a perfect cube is___________?
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A. 1/25

B. 10-Jan

C. 13-Apr

D. 2-Jan

1809. In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?
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A. Feb-33

B. 1

C. 19/66

D. 11-Apr

1810. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?
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A. 20-Sep

B. 25/42

C. 23-Oct

D. 41/42

1811. What is the probability that a leap year has 53 Sundays and 52 Mondays?
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A. 0

B. 1/7

C. 7-Feb

D. 7-May

1812. Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is__________?
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A. Jan-36

B. 12-May

C. 12-Jul

D. 5/9
1813. What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?
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A. 7-Apr

B. 7-Feb

C. 5/7

D. 21-Jan

1814. In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
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A. 16/21

B. 14-Sep

C. 5/21

D. 14-May

1815. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
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A. 17/91

B. 65/91

C. 33/91

D. 51/91

1816. The picture cards having in total fifty two cards is equal_________________?
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A. 16

B. Non of these

C. 12

D. 24

1817. . If the occurrence of one event means that another cannot happen, then the events are _______________?
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A. Mutually Exclusive

B. Bayesian

C. Empirical

D. Independent

1818. If an event consists of only one sample point is called _____________?
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A. Space

B. Exactly

C. Elementary event

D. Appeared

1819. The probability that the sum is odd if two dice are thrown:_________________?
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A. Jun-36

B. Dec-36

C. Sep-36

D. 18/36
1820. In which approach to probability the outcomes are equally likely to occur ?
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A. Independent

B. Classical Probability

C. Relative Frequency

D. Subjective Probability

1821. Which of the following is not a correct statement about a Probability _________________?
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A. It must have a value between 0 and 1

B. It is the collection of several experiment

C. A value near 0 means that the event is not likely to occur/happens

D. It can be reported as a decimal or a fraction

1822. The probability of getting exactly three tails when three balanced coins are tossed once _______________?
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A. 8-Feb

B. 1/8

C. 8-May

D. 8-Jul

1823. A fair coin toss the total events in sample space equal_____________?
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A. 16

B. 36

C. 6

D. 7

1824. If the occurrence of excludes the occurrence of the other is called ________________?
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A. Exchaustive

B. Mutually exclusive

C. Likely

D. Probability

1825. A list of sample _________ is called sample space?
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A. Events

B. Distinct

C. Piont

D. Subset

1826. If P(B/A)= 0.25 and P(A?B) = 0.2 then P(A) will equal to _______________?
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A. 0.8

B. 0.45

C. 0.75

D. 0.05

1827. The probability of drawing a picture card out of 52 cards is : ______________?
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A. 13/52

B. 12/52

C. Mar-52

D. 16/52

1828. A set of events is said to be independent if probability of head on tossing a coin is _______________?
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A. 1

B. 3-Feb

C. 1/2

D. 4-Mar

1829. If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (?) or a club (?)?
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A. Dec-52

B. 13/52

C. 20/52

D. 26/52=1/2
1830. The probability of even/odd numbers when a fair die is rolled is____________?
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A. Jan-36

B. 6-Jan

C. 3/6

D. 6-Feb

1831. Which of the following is not an example of a discrete probability distribution ?
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A. The sale or purchase price of a house

B. Non of these

C. Whether or no t a home has a swimming pool in it.

D. The number of bedrooms in a house
1832. If P(A/B)=1/4 and P(A?B) =1/5 then P(B) is ________________?
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A. 9-Jan

B. 20-Jan

C. 4/5

D. 0

1833. The special rule of multiplication of probability, the events must be ______________?
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A. Mutually exclusive

B. Bayesian

C. Empirical

D. Independent
1834. The square bracket is an finite G. Series is obtained by formula _________________?
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A. a/1-rn

B. a/1-r

C. a/(1-r)n

D. 1/1-rn

1835. The probability of drawing a diamond card out of 52 cards is ______________?
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A. 2-Jan

B. 0

C. Apr-52

D. 13/52
1836. The joint probability is _______________?
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A. The likelihood of two events happening given that another event has already ha

B. Also called Prior probability

C. Based on two mutually exclusive events

D. The likelihood of two events happening together
1837. If A and B are mutually exclusive then?
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A. P(AeitherB)=0

B. P(AnorB)=0

C. P(AorB) =0

D. P(AandB)=0
1838. The probability of drawing an even number in a toss of a balanced die ______________?
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A. 6-Feb

B. 6-Jan

C. 6-Jun

D. 3/6
1839. All experiments have _______ properties in common?
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A. Three

B. Two

C. One

D. Four

1840. A box containing 12 balls of color 6 red and 6 white. A ball of white selected ball finds the probability of white____________?
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A. 12-Dec

B. 12-Jul

C. 12-Apr

D. 6/12
1841. An events that contains the finite number point the sample space is called __________________?
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A. values

B. Continuous

C. Finite

D. Random
1842. A coin is so weighted that P (T) = 2P(H) then P(H) is _______________?
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A. 2-Jan

B. 1/3

C. 1

D. 3-Feb

1843. Addition Law of probability for mutually exclusive event is equal _______________?
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A. P(AUB) = P(A) + P(B) P(A?B)

B. P(A?B) = P(A). P(B

C. P(A?B) = P(A) + P(B) + P(A?B)

D. P(AUB)=P(A) + (B)
1844. __________ are said to be exhaustive if they constitute the entire sample space?
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A. Equally

B. Objects

C. Events

D. Outcomes

1845. A?B means:_______________?
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A. The elements A but not of B

B. The elements of A and B

C. None of these

D. The elements of A or B
1846. If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven ?
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A. 26-Jan

B. 8/52

C. 1/169

D. Apr-52

1847. The probability of a save event is equal to _________________?
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A. One

B. Two

C. Three

D. Four

1848. If in a coin P(H) = 2P(T) then prob. of head is ______________?
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A. 3-Jan

B. 2-Jan

C. 2/3

D. 0

1849. when a three die rolled the sample space consists of _____________?
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A. 6 outcomes

B. 216 outcomes

C. Non of these

D. 24 outcomes

1850. The possibility of total outcome in a coin equal to _______________?
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A. Fifty %

B. 60%

C. 30%

D. Twenty %