SOLUTION: How do you solve: The manager of a pizza parlor (which operates 7 days a week) allows each of three employees to select one day off next week. Assuming the selection is done ran

Question 371943: How do you solve:
The manager of a pizza parlor (which operates 7 days a week) allows each of three employees to select one day off next week. Assuming the selection is done randomly and independently, find the probability that all three select the same day, given that all three select a day beginning with the same letter.
Thank you!
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
There are two sets of 2 days in the week that begin with the same letter. Let's say that they all chose a day beginning with S. For a single person the probability of choosing Saturday is 1/2.
It doesn't make any difference what the 1st one chooses. The others have to chose the same day as the 1st.
1/2 * 1/2 = 1/4 the probability that all three select the same day, given that all three select a day beginning with the same letter.
.
Ed
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