Question

QUESTION 8

Solve the problem that involves probabilities with events that are not mutually exclusive.
Consider a political discussion group consisting of 8 Democrats, 3 Republicans, and 7 Independents. Suppose that two
group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting
an Independent and then a Democrat.
14/81, 25/153, 7/306/ or 4/153?

Answer 1

Option (2).

Explanation:

Number of Democrats in a political discussion = 8

Number of Republicans = 3

Number of independents = 7

Total members in the discussion = (8 + 3 + 7)

= 18

Probability of selecting an independent =
`(7)/(18)`

Remaining members after selecting one independent = 17

Probability of selecting a Democrat =
`(8)/(17)`

Probability of selecting a Republican then a Democrat =
`(7)/(18)* (8)/(17)`

=
`(28)/(153)`

Therefore, Option (2) will be the answer.