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?

Alex has 5 tshirts in the drawer 2 are white and the rest are black He will pick a tshirt from the drawer without looking and then without replacing it will pic class=

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Answer:

Probability[tex]=0.3[/tex]

Step-by-step explanation:

Number of T-Shirts[tex]=5[/tex]

White T-Shirts[tex]=2[/tex]

Black T-Shirts[tex]=5-Number\ of\ White\ T shirts=5-2=3[/tex]

Probability of First White T-shirts:

Number of White T-Shirts[tex]=2[/tex]

Hence Favourable outcomes[tex]=2[/tex]

Total Outcomes[tex]=5[/tex]

[tex]P(White)=\frac{Favourable\ Outcomes}{Total\ Outcomes}\\\\P(White)=\frac{2}{5}[/tex]

Probability of Second Pick is black:

Remaning T-Shirts[tex]=5-1=4[/tex]

So total outcomes[tex]=4[/tex]

Favourable outcomes[tex]=3[/tex]

[tex]P(Black)=\frac{Favourable\ Outcomes}{Total\ Outcomes}\\\\ P(Black)=\frac{3}{4}[/tex]

These two events are independent, So the probability that first pick is white and second is black[tex]=\frac{2}{5}\times \frac{3}{4}=\frac{3}{10}=0.3[/tex]

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