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Probability

Long Answer Type

881. Probabilities of solving a specific problem independently by A and B are

1 half space and space 1 third

respectively. If both try to solve the problem independently, find the probability:
(i) the problem is solved (ii) exactly one of them solves the problem.

175 Views

Short Answer Type

882. The probability that A will solve a problem is

2 over 5

and B will solve it is

5 over 6

. If both try the problem independently, find the probability that the problem will be solved.

90 Views

883. A problem of Mathematics is given to three students, whose chances of solving it are $1 third comma space 1 fourth comma space 1 fifth.$ What is the probability that the problem will be solved?

The probabilities of three students solving the problem are $1 third comma space 1 fourth comma space 1 fifth$ respectively.
$therefore$ proabilites of three students not solving the problem are
$1 minus 1 third space equals 2 over 3 comma space space 1 minus 1 fourth space equals 3 over 4 comma space space 1 minus 1 fifth space equals 4 over 5 space respectively.$
$therefore$ the probability that the problem is not solved by any one of them
$equals space 2 over 3 cross times 3 over 4 cross times 4 over 5 space equals 2 over 5$
$therefore$ probability that the problem will be solved by atleast one of them
$equals space 1 minus 2 over 5 space equals space 3 over 5$

82 Views

884. In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random.
Find the probability that she reads neither Hindi nor English newspaper.

72 Views

885. In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random.
If she reads Hindi newspaper, find the probability that she reads English newspaper.

76 Views

886. In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random.
If she reads English newspaper, find the probability that she reads Hindi newspaper.

81 Views

887. A certain team wins with probability 0.7, losses with probability 0.2 and ties with probability 0.1. The team plays three games. Find the probability that the team wins at least two of the games, but not lose.

254 Views

888.

A can hit a target 4 times in 5 shots, B 3 times in 4 shots, and C 2 times in 3 shots. Calculate the probability that
(i) A B, C all may hit (ii) B, C may hit and A may lose.

93 Views

889. A can hit a target 3 times in 5 shots, B 2 times in 5 shots, C 3 times in 4 shots. Each fire a volley, what is the probability that 2 shots hit the target?

97 Views

890. A can hit a target 4 times with 5 shots. B can hit 3 times with 5 shots and C can hit 3 times with 5 shots. Each fire a volley, what is the probability that 2 shots hit the target?

168 Views