In a bakery, 3 cakes of fresh cream pineapple, 4 cakes of chocolate, 2 cakes of buttercream strawberry
and 1 cake without cream are available. If two customers purchase one cake each, such that first cake
is replaced before the sale of the second then, the probability that both the cakes sold would be of
chocolate flavor is?
Answers
Given : In a bakery,
3 cakes of fresh cream pineapple,
4 cakes of chocolate,
2 cakes of buttercream strawberry
and 1 cake without cream are available.
Two customers purchase one cake each, such that first cake
is replaced before the sale of the second
To Find : the probability that both the cakes sold would be of chocolate flavor is?
Solution:
Total cakes = 3 + 4 + 2 + 1 = 10
Chocolate cakes = 4
Probability of 1st cake being chocolate = 4/10
first cake is replaced before the sale of the second
Hence still total cakes = 10 and chocolate cakes = 4 ( Assumed that cake is replaced with the same cake as sold)
Probability of 2nd cake being chocolate = 4/10
Probability that both cakes sold would be of chocolate flavor = (4/10)(4/10)
= 16/100
= 0.16
Probability that both cakes sold would be of chocolate flavor is 0.16
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