A drawer contains 8 red shirts, 6 blue shirts, and 7 white shirts. If a shirt is drawn at random, what is the probability that the shirt will be blue?
8 red, 6 blue, 7 white......total of 21 shirts
probability shirt will be blue is 6/21 which reduces to 2/7
Answer:
The Probability of drawing shirt is blue is \(\frac{2}{7}\)
Step-by-step explanation:
Given : A drawer contains 8 red shirts, 6 blue shirts, and 7 white shirts.
We have to find the probability if a shirt is drawn at random, then the shirt will be blue.
Total number of shirt in drawer = 8 + 6 + 7 = 21
Number of blue shirts = 6
Probability of an event = \(\dfrac{\text{number of possible outcomes}}{\text{number of total outcomes}}\)
Event (E) : shirt drawn is blue.
number of possible outcomes = 6
number of total outcomes = 21
Thus, the Probability of drawing shirt is blue is \(\frac{6}{21}\)
Simplifying , we get,
The Probability of drawing shirt is blue is \(\frac{2}{7}\)