Test: Probability And Expected Value By Mathematical Expectation- 4

Let a sample space be S = {X₁, X₂, X₃} which of the fallowing defines probability space on S ?

Let P be a probability function on S = {X₁ , X₂ , X₃} if P(X₁)= ¼ and P(X₃) = 1/₃ then P (X₂) is equal to

The chance of getting a sum of 10 in a single throw with two dice is

The chance of getting a sum of 6 in a single throw with two dice is

P (B/A) defines the probability that event B occurs on the assumption that A has happened

The complete group of all possible outcomes of a random experiment given an ________ set of events.

When the event is ‘certain’ the probability of it is

The classical definition of probability is based on the feasibility at subdividing the possible outcomes of the experiments into

Two unbiased coins are tossed. The probability of obtaining ‘both heads’ is

Two unbiased coins are tossed. The probability of obtaining one head and one tail is

Two unbiased coins are tossed. The probability of obtaining both tail is

Two unbiased coins are tossed. The probability of obtaining at least one head is

When 3 unbiased coins are tossed. The probability of obtaining 3 heads is

When unbiased coins are tossed. The probability of getting both heads or both tails is

Two dice with face marked 1, 2, 3, 4, 5, 6 are thrown simultaneously and the points on the dice are multiplied together. The probability that product is 12 is

A bag contain 6 white and 5 black balls. One ball is drawn. The probability that it is white is

Probability of occurrence of at least one of the events A and B is denoted by

Probability of occurrence of A as well as B is denoted by

Which of the following relation is true ?

If events A and B are mutually exclusive, the probability that either A or B occurs is given by

The probability of occurrence of at least one of the 2 events A and B (which may not be mutually exclusive) is given by

If events A and B are independent, the probability of occurrence of A as well as B is given by

For the condition P(AB)= P(A)P(B) two events A and B are said to be

The conditional probability of an event B on the assumption that another event A has actually occurred is given by

In a throw of coin what is the probability of getting tails.

Demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. profit per unit is $0.50 then expected profits for three days are

If P (A)= 1, P(B)= 1, the events A & B are 3 4

If events A and B are independent then

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace.

When a die is tossed, the sample space is

Find the expectation of a random variable X?

If events A and B are independent and P(A)= 2/3 , P(B)= 3/5 then P(A+B)is equal to

The expected no. of head in 100 tosses of an unbiased coin is

A and B are two events such that P(A)= 1/₃, P(B) = ¼, P(A+B)= 1/₂, than P(B/_A) is equal to

Probability mass function is always

What is the probability of getting an even number when a dice is thrown? 

The sum of probability mass function is equal to