Patrick was randomly picking his clothes to wear for the day. He had to pick one T-shirt from the following choices (red, blue, green, black, orange). He had to pick one pair of shorts from the following choices (blue, tan, black) and he had to decide on which shoes to wear (sandals, tennis shoes).

If each option is equally likely within each category what is the probability that he wore a Black shirt and his Tennis Shoes?

Group of answer choices

1/5

1/10

1/2

7/10

This question is based on the probability. Therefore, the correct option is D, i.e. [tex]\dfrac{7}{10}[/tex] is the probability that he wore a Black shirt and his Tennis Shoes.

Given:

He had to pick one T-shirt from the following choices (red, blue, green, black, orange). He had to pick one pair of shorts from the following choices (blue, tan, black) and he had to decide on which shoes to wear (sandals, tennis shoes).

We need to determined probability that he wore a Black shirt and his Tennis Shoes.

According to the question,

The probability that he wore a black shirt is [tex]\dfrac{1}{5}[/tex].

The probability that he wore his tennis shoes is [tex]\dfrac{1}{2}[/tex].

Hence, we get the total probability by adding both the above probability.

⇒ [tex]\dfrac{1}{5} +\dfrac{1}{2} =\dfrac{7}{10}[/tex]

Therefore, the correct option is D, i.e. [tex]\dfrac{7}{10}[/tex] is the probability that he wore a Black shirt and his Tennis Shoes.

For more details, prefer this link:

https://brainly.com/question/11234923