Question

chang has 2 shirts: a white one and a black one. he also has 2 pairs of pants, one blue and one tan. what is the probability, if chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? show your work.

Answer 1

Answer:

Probability is : $\frac{1}{4}$

Step-by-step explanation:

Chang has 2 shirts: a white one and a black one.

The probability of choosing the white shirt is $\frac{1}{2}$

Chang has 2 pairs of pants: one blue and one tan.

The probability of choosing the tan pants is $\frac{1}{2}$

Here both the events are independent.

Therefore the probability of wearing the white shirt and tan pants is:

$\frac{1}{2}\times \frac{1}{2}$

= $\frac{1}{4}$

Answer 2

Shirts:             1 white          1/21 black
pants:1 blue            1/21 tan
1/2*1/2=1/4