Question

A 3-person jury has 2 members each of whom have independently a probability 0.7 of making a correct decision. The third juror just flips a coin for each decision. In this jury, the majority rules. A 1-person jury has a probability 0.7 of making a correct decision. What is the probability of the best jury of making a correct decision?

Answer 1

answer:

The two juries have a similar likelihood (p) of settling on the right choice.

The likelihood that the principal jury settles on the correct choice is the

likelihood that either precisely two or every one of the three members of the jury make the privilege choice.

On the off chance that we expect that q=1-p and that the third attendant is the coin

flipper at that point:

Probability(right, right, wrong) p^2/2

Probability(right, wrong, right) pq/2

Probability(wrong, right, right) pq/2

Probability (right, right, right) p^2/2

which means p^2+pq

p(p+q)

p.

so finally these is the probability

NOTE: i hope the question of the given information of answer is will be enough, if need the more explanation, please comment.

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