Thomas has to take a driving test which is in two parts.
The first part is theoretical. He has a 0.4 chance of passing this.
The second is practical. He has a 0.5 chance of passing this.
Draw a tree diagram covering passing or failing the two parts of the test.
What is the probability that he passes both parts?
Answers
Given : Thomas has to take a driving test which is in two parts.
The first part is theoretical. He has a 0.4 chance of pas sing this.
The second is practical. He has a 0.5 chance of pas sing this.
To Find: the probability that he pas ses both parts
Solution:
Theoretical Pas s 0.4 Fail 0.6
practical Pas s 0.5 Fail 0.5 Pas s 0.5 Fail 0.5
Pa ss when pas ses in both
both are independent events
probability that he pas ses both parts = 0.4 * 0.5
= 0.2
probability that he pas ses both parts = 0.2
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