A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0.5, P(sugar) = 0.6, and P(cream or sugar) = 0.7. Determine the P(cream and sugar). (2 points)

0.4

0.5

0.6

0.7

Question

A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0.5, P(sugar) = 0.6, and P(cream or sugar) = 0.7. Determine the P(cream and sugar). (2 points)
		
0.4
		
0.5
		
0.6
		
0.7

mathmale · Answer

Obviously, some people take both cream and sugar with their coffee, so there can be overlap:  cream AND sugar.

You are to determine the probability of cream AND sugar.

To help you get started, I will write out below the formula for P(cream OR sugar):  it is 

P(cream OR sugar) = P(cream)+P(sugar) -P(cream AND sugar).

Please look this formula over, and also look over the given info.  Do you, or do you not, now have enough info to calculate P(cream AND sugar)?