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?

2 answers

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.
60/1`06