Math, asked by preetshergill7572, 9 months ago

Shekhar speaks truth in 1/2 of the cases and mohit in 4/5. Contradict each other?

Answers

Answered by bhagyashreechowdhury
4

Answer: ½ or 50%

Step-by-step explanation:

Assuming theta the question is related to probability. Hence the approach to solve the problem will be as follows:  

Let “A-true” be the event of Shekhar speaking truth and “A-lie” be the event of Shekhar speaking lie. Also, let “B-true” be the event of Mohit speaking truth and “B-lie” be the event of Mohit speaking lie.

Shekhar speaks the truth in ½ of the cases

P(A-true) = 1/2  

Mohit speaks truth in 4/5 of the cases

P(B-true) = 4/5

Shekhar speaks lie in, P(A-lie) = 1 - 1/2 = ½ cases

Mohit speaks lie in, P(B-lie) = 1 – 4/5 = 1/5 cases

Hence, the probability of Shekhar and Mohit will contradict each other  

= [P(A-true)*P(B-lie)] + [P(A-lie) + P(B-lie)]

= [1/2 * 1/5] + [1/2 * 4/5]

= 1/10 + 2/5

= ½ or 50%

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