Question

Toys for boys and for girls are donated to a benefit event by two groups. The Lakeville Do-Gooders donated 5 toys for boys and 7 for girls. The Southside Champions Club donated 6 toys for boys and 5 for girls. The master of ceremonies pulls the first toy out of a bin and it’s a toy for a boy. Find the probability that it was donated by the Do-Gooders.

Answer 1

0.4545 or 45%

Explanation:

Do-Gooders toys for boys = 5

Southside toys for boys = 6

Given that the first toy pulled out of the bin is a toy for boys, to find the probability that this toy was donated by the Do-Gooders, the number of toys for girls donate shouldn't be considered since there's a zero-chance that the toy in question is for girls. Therefore:

`Total\ sample \ space = 5+6 =11\\P(Do-Gooders)=(5)/(11) =0.4545`

There's a 0.4545 or 45% probability that it was donated by the Do-Gooders.