Probability Test

Result

Probability Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

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

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

B
P (E′|F) = 1 – P (E|F)

C
P (E′|F) = – 1 + P (E|F)

D
P (E′|F) = P (E|F)

Solution

We know that, P(S/F) =1

⟹ P(E U E'|F)=1 Since, E U E' = 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 ∩ F) P (F|E), P (E) ≠ 0

B
P (E∪F) P (F|E), P (E) ≠ 0

C
P (E) P (E|F), P (E) ≠ 0

D
P (E) P (F|E), P (E) ≠ 0

Solution

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