Introduction to Probability

If we throw two dice simultaneously, what would be the probability that we get a 10 or 11?

• 5/36

• 5/12

• 1/3

• None of these

The probability of an impossible event is

• 0

• 1

• Infinity

• None of these

If A and B are two independent events, what is P(A∩B), given that P(A)=0.5 and P(B)=0.3?

• 0.8

• 0.15

• 0.2

• None of these

If E and F are two mutually exclusive events, what is P(E⋃F) given that P(E)=0.25 and P(F)=0.4?

• 0.65

• 0.1

• 0.55

• none of these

For any Certain Event, the probability is

• 1

• greater than 1

• 0

• Infinity

If A and B are disjoint events, then it must be that

• P(A∩B)=0

• P(A)=0 and P(B)=0

• P(A or B)=0

• P(A̅) = P(B)

If a fair coin is tossed 5 times repeatedly, what would be the size of the sample space?

• 16

• 10

• 32

• none of these

If A and B are independent events, then it must be that

• A̅ and B are independent events

• A and B̅ are independent events

• A̅ and B̅ are independent events

• All of these

Two persons X and Y appear in an interview for two vacancies in the same post. The probability of X's selection is 1/5 and that of Y's selection is 1/3. The probability that none of them will be selected is :

• 7/15

• 8/15

• 9/15

• 10/15

If P(A)=0.3, P(B)=0.2 and P(C)=0.1 and A, B and C are independent events, find the probability of occurrence of at least one of the three events A, B and C?

• 0.496

• 0.092

• 0.6

• none of these