Question

A problem in Statistics is given to 5 students A, B, C, D and E. Their
chances of solving it are 1/2, 1/3,1/4.1/5 and 1/6. What is the
probability that the problem will be solved?​

Answer 1

Answer:

5/6

Step-by-step explanation:

Solving a problem is event ‘E'

& not solving the problem is event ‘ Not E’

For A , P(E) = 1/2 & P( not E) = 1–1/2 = 1/2

For B, P(E) = 1/3 & P( not E) = 1- 1/3 = 2/3

For C, P(E) = 1/4 & P( not E) = 1- 1/4 = 3/4

For D, P(E) = 1/5 & P( not E) = 1- 1/5 = 4/5

For E, P( E) = 1/6 & P( not E) = 1- 1/6 = 5/6

So, probability (‘notE') for all together =

1/2 * 2/3 * 3/4 * 4/5 * 5/6 = 120 / 720 = 1/6

Hence, probability ( E) for all together =( 1–1/6)

= 5/6

Answer 2

Answer:

Step-by-step explanation: