Respuesta :
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for probability
[tex]Probability=\frac{number\text{ of required outcomes}}{number\text{ of total outcomes}}[/tex]STEP 2: Get the probability of Chang wearing the white shirt
[tex]\begin{gathered} number\text{ of required outcomes}=1 \\ number\text{ of expected outcomes}=2 \\ Pr(white\text{ shirt\rparen}=\frac{1}{2} \end{gathered}[/tex]STEP 3: Get the probability of Chang wearing tan pants
[tex]\begin{gathered} number\text{ of tan pants}=1 \\ numbe\text{r of total pants}=2 \\ Pr(tan\text{ pants\rparen}=\frac{1}{2} \end{gathered}[/tex]STEP 4: Get the probability that he wears a white shirt and a tan pant
According to the multiplicative law of probability,
[tex]Pr(A\text{ and B\rparen}=Pr(A)\times Pr(B)[/tex]Therefore, the probability of wearing both outfits is:
[tex]\begin{gathered} Pr(White\text{ shirt and tan pant\rparen}=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4} \\ To\text{ decimal}=0.25 \\ \text{To percentage}=0.25\times100=25\% \end{gathered}[/tex]Hence, the probability that he wears a white shirt and a tan pant is:
1/4 as a fraction
0.25 as a decimal
25% as a percent
