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.
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Expert's answer
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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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
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Zia
02.12.12, 13:22
Very helpful
Assignment Expert
14.10.11, 18:32
We are pleased to help you
Sourav Sharma
15.09.11, 22:32
thanks a lot for helping my answer of my question
Assignment Expert
25.06.11, 16:53
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sharmilla mohapatra
12.05.11, 06:50
Thanks a lot ur suggestion helped me solve my problem
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Thank you!
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.
what is the probability that exactly one of them will solve it?
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Very helpful
We are pleased to help you
thanks a lot for helping my answer of my question
You are welcome!
Thanks a lot ur suggestion helped me solve my problem
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