- #1

jaus tail

- 615

- 48

## Homework Statement

## Homework Equations

Probability = number of favourable events / all possible events

## The Attempt at a Solution

Group X Y Total people

Indians 10 8 18 (total 18 Indians in both group)

Total People 25 20 45 (total 45 people in both group combined)

Both selected people are Indians.

There are 3 cases.

One: Both Indians are from group X.

Two: Both Indians are from group Y.

Three: One Indian is from X, other is from Y.

Probability of each is 1/3

Three cases

Case one i.e. both are from group X: 10C2 / 25C2 = 0.15

Case two i.e both are from group Y: 8C2 / 20C2 = 0.147

Case three i.e one from X, one from Y: 10C1 * 8C1 / [ 25C1 * 20C1 ] = 0.16

So answer is: 0.15 / [ (1/3) (0.15 + 0.147 + 0.16) ] = 0.985 which doesn't match any of the options.