Finite Sample Space

IMPORTANT

Finite Sample Space: Overview

This Topic covers sub-topics such as Venn Diagrams, Complementary Events, Independent and Dependent Events, Impossible Event, Certain Event and, Exhaustive System of Events

Important Questions on Finite Sample Space

EASY
IMPORTANT

With the help of a Venn diagram determine whether the following events E, and F of a sample space S=1,2,3,4 are mutually exclusive events or mutually inclusive events.

E=1,2, and F=3

EASY
IMPORTANT

With the help of a Venn diagram determine whether the following events E, and F of a sample space S=1,2,3,4 are mutually exclusive events or mutually inclusive events.

E=1,2, and F=4

EASY
IMPORTANT

With the help of a Venn diagram determine whether the following events E, and F of a sample space S=1,2,3,4 are mutually exclusive events or mutually inclusive events.

E=1,2, and F=2,4

EASY
IMPORTANT

Which one of the following represents males, boys, foot-ball players?

   Question Image

EASY
IMPORTANT

If A and B are mutually exclusive events P(A)=38 and P(B)=18, then find P(A¯).

EASY
IMPORTANT

Given two independent events A and B such that PA=0.3, PB=0.6. Find PA or B.

HARD
IMPORTANT

For next three question please follow the same

A is a set containing 10 elements. A subset P of A is chosen at random and the set A is reconstructed by replacing the elements of P.Another subset Q of A is now chosen at random. Then the probability that if :

P Q = A is

EASY
IMPORTANT

The probability of a person remains alive for the next 25 years is 4/5 and the probability that his wife remain alive for the same 25 years is 3/4, Find the probabilities that only wife remain alive for the next 25 years.

HARD
IMPORTANT

An urn contains 5 white, 7 red and 8 black balls. If four balls are drawn with replacement then what is the probability that at least three balls are white.

MEDIUM
IMPORTANT

An urn contains 5 white, 7 red and 8 black balls. If four balls are drawn with replacement then what is the probability that none of the balls are white.

EASY
IMPORTANT

An urn contains 5 white, 7 red and 8 black balls. If four balls are drawn with replacement then what is the probability that only three balls are white.

EASY
IMPORTANT

Probability of solving specific problem independently by A and B are 12 and 13 respectively. If both try to solve the problem independently, find the probability that exactly one of them solves the problem.

EASY
IMPORTANT

Two coins are tossed. Find the probability of getting two heads when it is known that one head has already occurred.

EASY
IMPORTANT

If A and B are independent events such that P(A)=0.3 and P(B)=0.4, then find PB|A.

EASY
IMPORTANT

If A and B are independent events and P(A)=0.3, P(B)=0.6 then find P(AB).

MEDIUM
IMPORTANT

If A and B are independent events such that P(A)=0.3 and P(B)=0.4 then find P(AB).

EASY
IMPORTANT

A die is thrown and a card is selected at random from a deck of 52 playing cards. The probability of getting an even number on the die and a spade card is

MEDIUM
IMPORTANT

A speaks the truth in 60% cases and B in 80% cases. The probability that they will contradict each other in describing a single event is

HARD
IMPORTANT

If A, B & C  are mutually exclusive and exhaustive events of a random experiment such that PB=32PA and PC=12PB, then PAC equals to

HARD
IMPORTANT

Let F denote the set of all onto functions from A=a1 , a2 , a3 , a4 to B=x,y,z. A function f is chosen at random from F. The probability that f-1x consists of exactly two elements is