Question

A bag contains 24 pieces of blue tshirts,10 pieces of green tshirts and x pieces of yellow tshirts. a tshirts is picked at random from the bag.

1)if the probability of choosing a blue tshirts is 2/5,find the value of x.
2)calculate the number of yellow tshirts that should be put into the bag so that the probability of choosing a yellow tshirts is 1/2.

Answer 1

`|\Omega|=34+x`

1)

`|A|=24\\ P(A)=(24)/(34+x)=(2)/(5)\\ (24)/(34+x)=(2)/(5)\\ 68+2x=120\\ 2x=52\\ x=26`

2)

`|A|=x\\ P(A)=(x)/(34+x)=(1)/(2)\\ (x)/(34+x)=(1)/(2)\\ 2x=34+x\\ x=34`