Students A and B have probabilities of failing an exam of $1 / 2$ and $1 / 5$ respectively. The probability of them both failing the examination is $1 / 10$ . Determine the probability that at least one of the two students fail.

0.5

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0.6

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0.7

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0.8

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Solution

The correct option is B $0.6$
Students A and B have probabilities of failing an exam of $\frac{1}{2}$ and $\frac{1}{5}$ respectively. The probability of them both failing the examination is $\frac{1}{10}$
$P (A \cup B) = P (A) + P (B) - P (A \cap B) =$ $\frac{1}{2}$ $+ \frac{1}{5}$ $- \frac{1}{10}$ $= \frac{6}{10} = 0.6$

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Students A and B have probabilities of failing an exam of 1/2 and 1/5 respectively. The probability of them both failing the examination is 1/10. Determine the probability that at least one of the two students fail.

The correct option is B 0.6Students A and B have probabilities of failing an exam of 12 and 15 respectively. The probability of them both failing the examination is 110P(A∪B)=P(A)+P(B)−P(A∩B)=12+15−110=610=0.6

Students A and B have probabilities of failing an exam of $1 / 2$ and $1 / 5$ respectively. The probability of them both failing the examination is $1 / 10$ . Determine the probability that at least one of the two students fail.