Question

According to a survey, 75% of adults in the united states think the u. s. government system is broken. of these 75%, about 7 out of 10 think that the government can be fixed.
a.find the probability that a randomly selected adult thinks the u. s. government system is broken and thinks the government can be fixed.
b.given that a randomly selected adult thinks the u. s. government system is broken, find the probability that he or she thinks the government cannot be fixed.

Answer 1

1.       Probability that a randomly selected adult thinks the U.S. government system is broken and can be fixed:

P (A and B) = P (A) * P (B|A) = .75 * .7 = 0.525

2.       Probability that given that a randomly selected adult thinks the U.S. government system, he or she thinks the government cannot be fixed.

P (B|A) = (1 – P (B|A) = 3/10 = 0.3