Question

Alex has 5 tshirts in the drawer. 2 are white, and the rest are black. He will pick a t-shirt from the drawer without looking, and then without replacing it, will pick a second t-shirt without looking. What is the probability that he will pick a white t-shirt on his first pick and a black t-shirt on his second pick?

Answer 1

Probability
`=0.3`

Explanation:

Number of T-Shirts
`=5`

White T-Shirts
`=2`

Black T-Shirts
`=5-Number\ of\ White\ T shirts=5-2=3`

Probability of First White T-shirts:

Number of White T-Shirts
`=2`

Hence Favourable outcomes
`=2`

Total Outcomes
`=5`

`P(White)=(Favourable\ Outcomes)/(Total\ Outcomes)\\\\P(White)=(2)/(5)`

Probability of Second Pick is black:

Remaning T-Shirts
`=5-1=4`

So total outcomes
`=4`

Favourable outcomes
`=3`

`P(Black)=(Favourable\ Outcomes)/(Total\ Outcomes)\\\\ P(Black)=(3)/(4)`

These two events are independent, So the probability that first pick is white and second is black
`=(2)/(5)* (3)/(4)=(3)/(10)=0.3`