Probability Practice Test 1

Question : 22 of 40

Marks: +1, -0

The odds in favour of A solving a problem are 3 to 4 and the odds against B solving the same problem are 5 to 7. If they both try the problem, the probability that the problem is solved is

$41/84$
$16/21$
$5/21$
$1/4$

Validate

Solution:

P(A)=3/7,P(B)=7/12

P(\ov A)=4/7,P(\ov B)=5/12

∴ P(A ∪ B)

=1-4/7×5/12=16/21

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