Question

Asap please !

In a state assembly, 35% of the legislators are Democrats, and the other 65% are Republicans. 70% of the Democrats favor raising sales tax, while only 40% of the Republicans favor the increase. If a legislator is selected at random from this group, what is the probability that they favor raising sales tax? Give your answer as a percentage rounded to the nearest tenth.

Answer 1

Probability of selecting a legislator who favors rising sales tax is 0.63

Explanation:

Given

Percentage of legislators that are democrats = 0.35

Percentage of legislators that are Republicans = 0.70

All the democrats favor raise in sales tax , so their probability is 1

and only 40% of the Republicans favor raise in sales tax.

Probability of selecting a legislator who favors rising sales tax is

(0.35*1)+(0.70*0.40)

= 0.63