Question

A customer from cavallaro's fruit stand picks a sample of 5 oranges at random from a crate containing 60 oranges, of which 6 are rotten. what is the probability that the sample contains 1 or more rotten oranges? (round your answer to three decimal places.

Answer 1

chances of one or more = 1 - chance of no rotten oranges

chance of no rotten oranges = 54/60 * 53/59 * 52/58 * 51/57 * 50/56

Answer 2

Answer: 0.379

Explanation:

Given : Total oranges =60

Rotten oranges = 6

Number of fresh orange = 60-6=54

Sample size : n=5

Customer picks up 5 oranges from total 60, then the probability that first orange is fresh =
`(54)/(60)`

Probability that next orange is fresh=
`(54-1)/(60-1)=(53)/(59)` and so on.....

The probability that more than one are rotten :-

`1-\text{P(no rotten)}\\\\=1-(54*53*52*51*50)/(60*58*57*56*55)\\\\=1-0.621166945577\\\\=0.378833054423\approx0.379`