Probability Test

Result

Probability Test - 5

Score
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Rank
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Weekly Quiz Competition

Question 1
1 / -0

If A and B are two mutually exclusive events, then P (A + B) is equal to

A
P (A) P (B’) P(A’) P (B).

B
P (A) P (B)

C
P (A) + P (B)

D
P (A) P (B’) + P (A’) P (B)

Solution

For two mutually exclusive events A and B, we have A ∩ B = ϕ i.e. there is no common elements exist between them,then we have from addition theorem

of probability, P(A or B) = P(A U B)= P(A+B) = P(A) + P(B) - P(A∩ B) = P(A) + P(B) [as P(A∩B) = 0]
Question 2
1 / -0

If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is

A
0.44

B
0.5

C
0.06

D
none of these

Solution

Required probability = 1 - P[neither a fails nor B fails]

= 1 - P[A does not fail] x [B does not fail]

= 1 - 0.8 x 0.7

= 0.44