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?

Option (2).

Step-by-step 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 =

Remaining members after selecting one independent = 17

Probability of selecting a Democrat =

Probability of selecting a Republican then a Democrat =

                                                                                           =

Therefore, Option (2) will be the answer.

4+4+2x

or

2x+8

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: