A, B, and C are independent witness of an event which is known to have occurred. A speaks the truth three times out of four B four times out of five and C five times out of six. What is the probability that the occurrence will be reported truthfully be majority of three witnesses?

Explanation

According to questions , It is given that br>
A speaks truth three times out of four

B speaks truth four times out of five

C speaks truth five times out of six

`arrow {P}({T}_{{A}})={P}({A} speaks truth)`

`arrow P(T_{A})=frac{3}{4}`

`arrow P(T_{B})=P(B speaks truth )`

`arrow P(T_{B})=frac{4}{5}`

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