A news organization surveyed 70 adults. Each said he or she gets news from only one source. Here is a summary of their sources of news.

Question

A news organization surveyed 70 adults. Each said he or she gets news from only one source. Here is a summary of their sources of news.

Source of News Number of Adults

Television 19

Internet 15

Radio 14

Newspaper 22

Three of the adults from the survey are selected at random, one at a time without replacement. What is the probability that all three of the adults get news from the radio? Do not round your intermediate computations. Round your final answer to three decimal places. 

Answer 1

The probability that the first person got news from the radio is 14/70 which is the same as 1/5. The probability that the second person got news from the radio is 13/69. The probability that the third person got news from the radio is 12/68 which is the same as 3/17. The probability that all three of these happened is:

The decimal equivalent of this is 0.0066496164 but rounded to three decimal places we get 0.007