Sec 3/4 E Math T13-Q10 - Using a probability tree with conditional branches

Sec 3/4 E Math T13-Q10 - Using a probability tree with conditional branches

Secondary 3
Original parallel to Sec3&4 E Math FA

A candidate takes two tests. The probability of passing Test 1 is \(0.75\). If the candidate passes Test 1, the probability of passing Test 2 is \(0.8\); otherwise it is \(0.4\).

  1. Draw a probability tree to represent the information.
  2. Find the probability that the candidate passes both tests.
  3. Find the probability that the candidate passes Test 2.

Solution:

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Answer:(b) \(0.600\); (c) \(0.700\).

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