To calculate: The probability that you have to buy 5 of them if it is need to buy gumballs until it will get a blue one.
The probability it has to buy
Given information:
A vending machine contains
Calculation:
Let
First, buy
Initially,
The probability is the number of favorable outcomes divided by the number of possible outcomes:
After a non-blue gumball has been selected, 16 of the remaining 19 balls are not blue.
After two non-blue gumballs have been selected, 15 of the remaining 18 balls are not blue.
After three non-blue gumballs have been selected, 14 of the remaining 17 balls are not blue.
After four non-blue gumballs have been selected, 3 of the remaining 16 balls are blue.
Use the general multiplication rule:
Hence, the probability that it has to buy 5 of them if it is need to buy gumballs until it will get a blue one is
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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