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Q10: Paper 2 – November 2023
Q10: Paper 2 – November 2023
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10)
Shakir has to complete two tests.
He can either pass or fail each test.
The probability that he will pass the first test is 0.87
If he passes the first test the probability he will pass the second test is 0.94
If he fails the first test the probability he will pass the second test is 0.73
(a) Complete the probability tree diagram for this information.
10)
Shakir has to complete two tests.
He can either pass or fail each test.
The probability that he will pass the first test is 0.87
If he passes the first test the probability he will pass the second test is 0.94
If he fails the first test the probability he will pass the second test is 0.73
(a) Complete the probability tree diagram for this information.
[2 marks]
(b) Work out the probability that Shakir passes at least one of the tests.
[3 marks]
Mark Scheme
Working
Shakir has to complete two tests.
He can either pass or fail each test.
The probability that he will pass the first test is 0.87
If he passes the first test the probability he will pass the second test is 0.94
If he fails the first test the probability he will pass the second test is 0.73
(a) Complete the probability tree diagram for this information.
Shakir has to complete two tests.
He can either pass or fail each test.
The probability that he will pass the first test is 0.87
If he passes the first test the probability he will pass the second test is 0.94
If he fails the first test the probability he will pass the second test is 0.73
(a) Complete the probability tree diagram for this information.
(b) Work out the probability that Shakir passes at least one of the tests.
