Question

A problem in statistics is given to two students A and B. The probability that A solves the problem is 1/2 and that of B’ s to solve it is 2/3. Find the probability that the problem is solved.

Answer 1

I guess the answer is...

1

Answer 2

Hi ,

It is given that ,

Probability of A solving the problem

= P( A ) = 1/2

Probability of B solving the problem

= P( B ) = 2/3

Probability of not solving the problem

P ( E bar ) = [ 1 - P(A)] × [ 1 - P(B ) ]

= ( 1 - 1/2 )( 1 - 2/3 )

= 1/2 × 1/3

= 1/6

Now ,

Probability of that the problem solved

= P( E )

= 1 - P( E bar )

= 1 - 1/6

= ( 6 - 1 )/6

= 5/6

I hope this helps you.

: )