J uiy e winte You work at Mike\'s pizza shop. You have the following information
ID: 3328082 • Letter: J
Question
J uiy e winte You work at Mike's pizza shop. You have the following information about the 7 pizzas in the oven: 3 of the 7 have thick crust, and of these one has only sausage and 2 have only mushrooms; the remaining 4 pizzas have regular crust, and of these 2 have only sausage and 2 have only mushrooms. Choose a random pizza from the oven. 3) (a) Are the events (getting a thick crust pizza) and (getting a pizza with mushrooms) independent? Explain. (b) You add an eighth pizza to the oven. This pizza has thick crust with only cheese Now are the events (getting a thick crust pizza) and (getting a pizza with mushrooms) independent? ExplainExplanation / Answer
a)probability of having thick crust P(A)=3/7
probability of getting pizza with mushrooms P(B) =4/7
also probabilty of getting pizza with crust and mushroom=P(AnB) =2/7
as P(AnB) is not equal to P(A)*P(B) ; therfore not independent.
b)Now
probability of having thick crust P(A)=4/8
probability of getting pizza with mushrooms P(B) =4/8
also probabilty of getting pizza with crust and mushroom=P(AnB) =2/8
as P(AnB) is equal to P(A)*P(B) ; therfore events are independent.
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