Probability - Aptitude MCQ Questions and Solutions with Explanations Page-9 section-1

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81.
Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected.
The probability of A is $$\frac{{1}}{{7}}$$ and that of B is $$\frac{{2}}{{9}}$$. Find the probability that both of them are selected.

A. $$\frac{{1}}{{63}}$$

B. $$\frac{{2}}{{35}}$$

C. $$\frac{{2}}{{63}}$$

D. $$\frac{{9}}{{14}}$$

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82.
Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting all the four cards of the same suit.

A. $$\frac{{13}}{{270725}}$$

B. $$\frac{{91}}{{190}}$$

C. $$\frac{{178}}{{20825}}$$

D. $$\frac{{44}}{{4165}}$$

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83.
A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement.
Find the probability that both toys will show even numbers.

A. $$\frac{{5}}{{21}}$$

B. $$\frac{{9}}{{42}}$$

C. $$\frac{{11}}{{42}}$$

D. $$\frac{{4}}{{21}}$$

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84.
Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice.

A. $$\frac{{5}}{{12}}$$

B. $$\frac{{11}}{{36}}$$

C. $$\frac{{5}}{{36}}$$

D. $$\frac{{13}}{{36}}$$

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85.
The probability of success of three students X,Y and Z in the one examination are $$\frac{{1}}{{5}}$$, $$\frac{{1}}{{4}}$$ and $$\frac{{1}}{{3}}$$ respectively. Find the probability of success of at least two.

A. $$\frac{{1}}{{6}}$$

B. $$\frac{{2}}{{5}}$$

C. $$\frac{{3}}{{4}}$$

D. $$\frac{{3}}{{5}}$$

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86.
A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement.
What is the probability that first is white and second is black?

A. $$\frac{{18}}{{145}}$$

B. $$\frac{{18}}{{29}}$$

C. $$\frac{{36}}{{135}}$$

D. $$\frac{{36}}{{145}}$$

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87.
There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

A. $$\frac{{6}}{{7}}$$

B. $$\frac{{1}}{{8}}$$

C. $$\frac{{3}}{{8}}$$

D. $$\frac{{5}}{{9}}$$

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88.
A speaks truth in 75% of cases and B in 80% of cases. In what percent of cases are they likely to contradict each other in narrating the same event?

A. 35%

B. 5%

C. 45%

D. 22.5%

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89.
Four dice are thrown simultaneously. Find the probability that all of them show the same face.

A. $$\frac{{1}}{{216}}$$

B. $$\frac{{1}}{{36}}$$

C. $$\frac{{4}}{{216}}$$

D. $$\frac{{3}}{{216}}$$

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90.
The odds against an event are 5 : 3 and the odds in favour of another independent event are 7 : 5. Find the probability that at least one of the two events will occur.

A. $$\frac{{69}}{{96}}$$

B. $$\frac{{52}}{{96}}$$

C. $$\frac{{71}}{{96}}$$

D. $$\frac{{13}}{{96}}$$

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Probability - Aptitude MCQ Questions and Solutions with Explanations

81. Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected. The probability of A is $$\frac{{1}}{{7}}$$ and that of B is $$\frac{{2}}{{9}}$$. Find the probability that both of them are selected.

Answer & Solution

82. Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting all the four cards of the same suit.

Answer & Solution

83. A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement. Find the probability that both toys will show even numbers.

Answer & Solution

84. Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice.

Answer & Solution

85. The probability of success of three students X,Y and Z in the one examination are $$\frac{{1}}{{5}}$$, $$\frac{{1}}{{4}}$$ and $$\frac{{1}}{{3}}$$ respectively. Find the probability of success of at least two.

Answer & Solution

86. A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?

Answer & Solution

87. There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

Answer & Solution

88. A speaks truth in 75% of cases and B in 80% of cases. In what percent of cases are they likely to contradict each other in narrating the same event?

Answer & Solution

89. Four dice are thrown simultaneously. Find the probability that all of them show the same face.

Answer & Solution

90. The odds against an event are 5 : 3 and the odds in favour of another independent event are 7 : 5. Find the probability that at least one of the two events will occur.

Answer & Solution

Read More Section(Probability)

81.
Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected.
The probability of A is $$\frac{{1}}{{7}}$$ and that of B is $$\frac{{2}}{{9}}$$. Find the probability that both of them are selected.

82.
Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting all the four cards of the same suit.

83.
A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement.
Find the probability that both toys will show even numbers.

84.
Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice.

85.
The probability of success of three students X,Y and Z in the one examination are $$\frac{{1}}{{5}}$$, $$\frac{{1}}{{4}}$$ and $$\frac{{1}}{{3}}$$ respectively. Find the probability of success of at least two.

86.
A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement.
What is the probability that first is white and second is black?

87.
There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

88.
A speaks truth in 75% of cases and B in 80% of cases. In what percent of cases are they likely to contradict each other in narrating the same event?

89.
Four dice are thrown simultaneously. Find the probability that all of them show the same face.

90.
The odds against an event are 5 : 3 and the odds in favour of another independent event are 7 : 5. Find the probability that at least one of the two events will occur.