Basics of Probability

One box contains four cards numbered $1, 3, 5$ and $6$. Another box contains three cards numbered $2, 4$ and $7$. One card is drawn from each box. Find the probability that the sum is even.

When $P\left(A\right) = 0.02$, find the probability of $‘not A’$.

The face of a coin is either head or tail. If three coins are tossed, what is the probability of getting three tails or three heads?

Two fair dice are thrown. What is the probability that the sum of the dice is divisible by 5?

Two people are chosen randomly from four married couples. What is the probability that they are husband and wife?

A two-digit number is chosen randomly. What is the probability that it is divisible by $7$?

If two balls are drawn in succession from five white and four yellow, find the probability that all are of one colour if the first ball is replaced immediately before the second draw.

Two dice are rolled at a time. What is the probability of getting number $6$ in two dice?

In a dice game, one fair is used. The player wins if he rolls either $1$ or $6$. He losses if he turns up any other face. What is the expected winning for one roll of the die?

An urn contains four black balls and six white balls. What is the probability of getting one black ball and white ball in two consecutive draws from the urn?

One letter is taken from each of the words PARALLEL and LEVEL at random. What is the probability of getting the same letter?

The probability of getting credit in an examination is $\frac{1}{3}$. If three students are selected at random, what is the probability that at least one of them got a credit?

A standard deck of $52$ playing cards is well shuffled. What is the approximate probability that the first four cards dealt from the deck will be four aces?

A face of a coin is either head or tail. If three coins are tossed, what is the probability of getting three tails?

What is the probability that David and Tim randomly select the same number if David selects a positive divisor of $64$ and Tim selects a multiple of $3$ that is less than $64$?

Two dice are thrown simultaneously, the probability that the difference of the numbers appearing on them is a prime number

Two bags contain $3$white, $2$black and $2$ white,$4$ black balls respectively. A ball is chosen at random then the probability of its being black is _____.

A die is thrown once. If the probability of getting a perfect square is $\text{'}a\text{'}$ and probability of getting composite number except $4$ is $\text{'}b\text{'}$ then $\sqrt{b^4+a^4-2a^2{b}^2}$ is 

Four dice are thrown simultaneously. Find the probability that all of them show the same face.

A five-digit number is formed by using digits $1, 2, 3, 4 \text{and} 5$ without repetition. What is the probability that the number is divisible by $4$?