# Answer to Question #1872 in Statistics and Probability for Jenny

Question #1872
A problem in mathematics is given to three students A, B and C whose chances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if all of them try independently.
1
2011-03-10T09:36:16-0500
The probability that the problem is not solved by any of them:
(1 - P(A))*(1 - P(B))* (1 - P(C)) = (1 - 1/2)(1 - 3/4)(1 - 1/4) = 1/2*1/4*3/4 = 3/32
Hence, the probability that the problem will be solved is
1 - 3/32 = 29/32.

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Assignment Expert
04.03.14, 17:54

JeeJa
04.03.14, 09:44

Thank you!

Assignment Expert
03.03.14, 13:02

The probability that exactly one of them will solve it equals the following sum P(A)(1-P(B))(1-P(C))+(1-P(A))P(B)(1-P(C))+(1-P(A))(1-P(B))P(C)=1/2*1/4*3/4+1/2*3/4*3/4+1/2*1/4*1/4=3/32+9/32+1/32=13/32.

JeeJa
02.03.14, 14:42

what is the probability that exactly one of them will solve it?

Assignment Expert
03.12.12, 15:21

Zia
02.12.12, 13:22

Assignment Expert
14.10.11, 18:32

Sourav Sharma
15.09.11, 22:32

thanks a lot for helping my answer of my question

Assignment Expert
25.06.11, 16:53

You are welcome!

sharmilla mohapatra
12.05.11, 06:50

Thanks a lot ur suggestion helped me solve my problem