A candidate takes two tests. The probability of passing Test 1 is $0.70$. If the candidate passes

Question

A candidate takes two tests. The probability of passing Test 1 is $0.70$. If the candidate passes Test 1, the probability of passing Test 2 is $0.8$; otherwise it is $0.4$. Draw a probability tree to represent the information. Find the probability that the candidate passes both tests. Find the probability that the candidate passes Test 2.

Accepted Answer

(b) $0.560$; (c) $0.680$.

Sec 3/4 E Math T13-Q03 - Using a probability tree with conditional branches

Sec 3/4 E Math T13-Q03 - Using a probability tree with conditional branches

Solution:

Handwritten & Typed Solutions