Theory of probability – Test 1

The theory of probability involves the study of a-

Probability theory originated in the middle of the-

Initially, probability was a branch of-

The terms ‘chance’ and ‘probability’ are synonymous.

The mathematical study of randomness is called probability theory.

An experiment is known to be random if the results of the experiment-

If P(A) = P(B), then

If an unbiased coin  is tossed once, then the two events Head and Tail are-

If P(A) =P(B), then the two events A and B are-

If P(A/B) = P(A), then-

If P(A)=0, then the event A-

If P(A)=1, then the event A is known as-

P(B/A) is defined only when-

P(A/B’) is defined only when-

If P(A)=5/9, then the odds against the event A is-

If A,B and C are mutually exclusive and exhaustive events, then P(A)+P(B)+P(C) equals to-

A bag contains 15 one rupee coins, 25 two rupee coins and 10 five rupee coins. If a coin is selected at random from the bag, then the probability of not selecting a one rupee coin is

If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace?

If x and y are random variables having expected values as 4.5 and 2.5 respectively, then the expected value of (x-y) is-

Two balls are drawn from a bag containing 5 white and 7 black balls at random. What is the probability that they would be of different colors?

What is the chance of throwing at least 7 in a single cast with 2 dice?

There are 10 balls numbered from 1 to 10 in a box. If one of them is selected at random, what is the probability that the number printed on the ball would be an odd number greater than 4?

A, B and C are three mutually excursive and exhaustive events such that P(A)=2P(B)=3P(C). What is P(B)?

For two independent events A and B, what is P(A+B), given P(A)=3/5 and P(B)=2,3?

It is given that a family of 2 children has a girl, what is the probability that the other child is also a girl?