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]