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Probability

Important Instructions
81.

Two dice are tossed simultaneously. Find the probability that the total is a prime number.

Answer: D

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82.

A box has 6 black, 4 red, 2 white and 3 blue shirts. What is probability of picking at least 1 red shirt in 4 shirts that are randomly picked?

Answer: C

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83.

Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?

Answer: A

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84.

If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven?

Answer: C

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85.

The probability that a prime number selected at random from the numbers (1,2,3, ..........35) is :

Answer: B

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86.

An experiment whose outcomes has to be among a set of events that are completely known but whose exact outcomes is unknown is a

Answer: C

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Answer: A

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88.

What is the probability that a number selected from the numbers (1, 2, 3,..........,15) is a multiple of 4?

Answer: A

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89.

A number is chosen at random among the first 100 natural numbers. Find the probability that the number chosen is prime.

Answer: A

There are 25 prime numbers in the set of the first 100 natural numbers. They are:

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89, and 97.

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90.

The probability that a number selected at random from the first 50 natural numbers is a composite number is -.

Answer: B

The number of exhaustive events = ⁵⁰C₁ = 50.

We have 15 primes from 1 to 50.

Number of favourable cases are 34.

Required probability = 34/50 = 17/25.

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