Question
Given a population comprised of 30 bats, 15 gloves, and 60 balls, if sampling is random and one at a rime without replacement,
what is the probability of obtaining a bat, a glove, and a bat in that order if three objects are sampled from the population?
what is the probability of obtaining a bat, a glove, and a bat in that order if three objects are sampled from the population?
Answers
RickP
Starting off, there are 105 items, of which 30 are bats. The probability for that draw is 30/105.
There are now 104 items remaining, of which 15 are gloves. The probability of getting a glove now is 15/104.
There are now 103 items remaining, of which 60 are balls. The probability of getting a ball now is 60/103.
The probability of all three occurring is the product of their individual probabilities.
There are now 104 items remaining, of which 15 are gloves. The probability of getting a glove now is 15/104.
There are now 103 items remaining, of which 60 are balls. The probability of getting a ball now is 60/103.
The probability of all three occurring is the product of their individual probabilities.
hika
60/1`06