Question

I have three shirts, two red, and one blue, and two pairs of pants, black and tan. (a) List all possible wardrobe combinations (b) When I wake-up in the morning I am so tired. When I reach into my closet, I blindly search for a shirt and a pair of pants. What is the probability that I chose a red shirt and a black pair of pants? (c) What is the probability that I chose a green shirt and a black pair of pants?

Answer 1

total number of shirts= 3

Red shirts = 2

Blue shirt= 1

Total pair of pants= 2

Black pants= 1

Tan pants= 1

(a) All possible wardrobe combinations = 3 * 2 = 6

   Thus, there are 6 possible wordrobe combination

(b)Probability that I chose a red shirt and a black pair of pants = P( red shirt) * P( Black pants)

= (2/3) * (1/2)

= 1/3

(c)Probability that I chose a green shirt and a black pair of pants= P( Green shirt) * P( Black Pants)

= 0

Because there is no green shirt.