To determine: The probability that a person who starts eating them one at a time won’t get a caramel until the third candy.
The probability that a person who starts eating them one at a time won’t get a caramel until the third candy.is 0.033.
Given information:
The box of candies contains 6 caramels and 4 buttercreams.
Formula used:
Here, E is the favourable outcomes and S is the total possible outcomes.
And,
Use general multiplication rule:
P (A and B) = P(A)×P(B|A) = P(B)×P(A|B) ...... (2)
Calculation:
When the first caramel is obtained on the third candy, then the first two candies were buttercreams and the third candy was a caramel.
Let
4 of the 4+6 = 10 candies in the box are butter creams.
Substitute 4 for
When the first candy was a buttercream, then 3 of the 9 remaining candies in the box are butter creams.
Substitute 3 for
When the first two candies were a buttercream, then 6 of the 8 remaining candies in the box are caramels.
Substitute 2 for
Substitute
Hence, the probability that a person who starts eating them one at a time won’t get a caramel until the third candy.is 0.033.
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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