Question

The name of 6 boys and 7 girls are written on cards you pull 1 out without replacing it and you pick another one what is the probability of picking 2 cards with the girls name

Answer 1

The probability of picking two cards with the girls name with out replacement

`P(E) = (42)/(156) = 0.2692`

Explanation:

Explanation:-

The number of cases that two cards can be drawn from '6' boys and '7' girls one after another with out replacement.

That is
`13C_(1)X12C_(1) = 156ways`

Let 'E' be the event of the pick another one of two cards from girls name with out replacement .

That is total number of girls =7

The number of ways cases that the two cards can be drawn one after another one without replacement =
`7C_(1)X6C_(1)` = 42

Required probability P(E) =
`(n(E))/(n(S))`

`P(E) = (42)/(156) = 0.2692`

Conclusion:-

The probability of picking two cards with the girls name with out replacement

`P(E) = (42)/(156) = 0.2692`