Probability Test

Result

Probability Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

The conditional probability of an event E, given the occurrence of the event F lies between

A
0 < P (E|F) < 1

B
0 ≤ P (E|F) < 1

C
0 < P (E|F) ≤ 1

D
0 ≤ P (E|F) ≤ 1

Solution

Explanation:

As the probability of any event always lies between 0 and 1. Therefore , 0 ≤ P (E|F) ≤ 1.
Question 2
1 / -0

The conditional probability of the event E', given that F has occurred is given by

A
P (E′|F) = – 1 + P (E|F)

B
P (E′|F) = 1

C
P (E′|F) = 1 – P (E|F)

D
P (E′|F) = P (E|F)

Solution

Explanation:

we know that P(S/F) =1

⟹ P(E U E'|F)=1 since EUE' =S

⟹P(E/F) +P(E'/F) =1 since E and E' are disjoint events

P(E'/F) = 1- P(E/F)
Question 3
1 / -0

If E and F are events then P (E ∩ F) =

A
P (E) P (F|E), P (E) ≠ 0

B
P (E ∩ F) P (F|E), P (E) ≠ 0

C
P (E∪F) P (F|E), P (E) ≠ 0

D
P (E) P (E|F), P (E) ≠ 0

Solution

Explanation:

If E and F are events then P (E ∩ F) = P (E) P (F|E), P (E) ≠ 0. By the defination of conditional probability of two events