Probability Theory

An event whose occurrence is impossible, is called

• Sure event

• Uncertain event

• Null event

• None of these

If the occurrence of one of them excludes the possibility of the occurrence of the other, then the event is called ...

• Mutually exclusive/ Disjoint

• Independent

• Mutually exhaustive

• Sure event

Number of combinations of 4 items taking 2 at a time,  $4C_2\ =$  

• 5

• 6

• 0

• 4

If two events, A and B are mutually exclusive, then P(AUB) =

• P(A) + P(B)

• P(A) + P(B) - P(A $\cap$ B)

• P(A) $\times$ P(B)

• P(A)- P(B)

A card is selected from a deck of cards. What is the probability that the card is Black ?

• $\frac{1}{52}$

• $\frac{1}{13}$

• $\frac{1}{2}$

• $\frac{1}{4}$

Three coins are tossed simultaneously . The sample space will contain ... sample points.

• 1

• 2

• 4

• 8

Two Coins are tossed. Let X be the Random Variable indicating the number of Heads. X can take the values ...

• 0,1

• 0,1,2

• 0,1,2,3

• 0,1,2,3,4

Two Dice are tossed. What is the probability of getting sum of the numbers on the dice is 3

•  $\frac{1}{36}$ 

•  $\frac{1}{18}$ 

•  $\frac{3}{36}$ 

•  $\frac{3}{18}$ 

The probability P(A/B) is called ....

• Independent probability

• Disjoint Events

• Sure Probability

• Conditional Probability

How many 2 digit numbers can be formed using the digits of the number 6789 if repetition of numbers are not allowed ( 66, 77, 88 & 99 not allowed)?

• 16

• 12

• 6

• 8