Aptitude · all questions

Probability
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Q81

Open question

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.

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Q82

Open question

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.

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Q83

Open question

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.

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Q84

Open question

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.

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Q85

Open question

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.

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Q86

Open question

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?

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Q87

Open question

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?

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Q88

Open question

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?

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Q89

Open question

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

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Q90

Open question

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.

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Q91

Open question

If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?

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Q92

Open question

A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that

∣ X ∣ < 2

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Q93

Open question

In a race where 12 cars are running, the chance that car X will win is

\frac{1}{6},

that Y will win is

\frac{1}{10}

and that Z will win is

\frac{1}{8}

. Assuming that a dead heat is impossible. Find the chance that one of them will win.

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Q94

Open question

A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?

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Q95

Open question

A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year-III, 150 Year-II and 200 Year-I students who applied.
Each Year-III's name is placed in the lottery 3 times; each Year-II's name, 2 times and Year-I's name, 1 time. What is the probability that a Year-III's name will be chosen?

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Q96

Open question

From a bag containing 4 white and 5 black balls a man drawn 3 balls at random. What are the odds against these balls being black?

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Q97

Open question

A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag.
Find the probability that one ball is red and one is green.

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Q98

Open question

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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Q99

Open question

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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Q100

Open question

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -

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Probabilitypractice.

Probability
practice.