Introduction to Probability

If $P(E) = 3/4$, then $P(\text{not } E)$ is:

What is the probability of drawing a red ace from a standard deck of $52$ cards?

Which of these is the probability of an event that is impossible?

If the probability of an event is $1$, it is called:

In a football match, a player missed $4$ goals out of $10$ attempts. What is the probability of him scoring a goal?

A coin is tossed $600$ times and tail appears $312$ times. What is the probability of getting a head?

What is the probability of a leap year having $53$ Sundays?

In a random experiment, there are only three possible mutually exclusive outcomes: $A, B,$ and $C$. Their empirical probabilities are given by $P(A) = \frac{2x-1}{10}$, $P(B) = \frac{3x+1}{10}$, and $P(C) = \frac{x+2}{10}$. Arrange these outcomes in increasing order of their likelihood.

If $P(E) = 0.44$, then find the value of $P(\text{not } E)$.

A die is thrown once. What is the probability of getting a number less than $7$?

If $P(E) = 0.5$, then the occurrence of event $E$ is:

What is the probability of selecting the letter 'M' from the word 'MATH'?

Which value on the probability scale represents the lowest chance of an event occurring?

What is the probability of picking a red card from a standard deck of $52$ cards?

What is the probability of choosing the letter 'S' from the word 'SUCCESS'?

If a number $x$ is chosen from $1, 2, 3$ and a number $y$ is chosen from $1, 4, 9$, what is the probability that $xy < 9$?

The probability of an event $E$ is $P(E)$. If $P(E) = 1$, then the event is called:

A card is drawn from a well-shuffled deck of $52$ cards. What is the probability of drawing a '5' of 'Spades'?

Which of the following cannot be the probability of an event?

In $500$ tosses of a coin, tails occurred $240$ times. What is the empirical probability of getting a head?

If you toss a coin $1000$ times and get $499$ heads, the empirical probability of getting a tail is:

The probability of an event $E$ occurring is $12/25$. What is the probability of $E$ not occurring?

A die is thrown $200$ times. The number $3$ appears $40$ times. What is the probability of getting $3$?

In a survey of $600$ people, $240$ were found to have a high school degree. The probability that a person chosen at random has a high school degree is:

In a survey of $400$ people, $160$ were found to be smokers. What is the probability that a person chosen at random is a non-smoker?

A bag contains cards numbered $1$ to $100$. A card is drawn $500$ times with replacement. An even-numbered card is drawn $260$ times. Find the probability of getting an odd-numbered card.

If the probability of an event happening is $0.63$, what is the probability of the event not happening?

A frequency table for the number of goals scored by a team in $25$ matches is: $0$ goals: $3$; $1$ goal: $8$; $2$ goals: $7$; $3$ goals: $5$; $4$ goals: $2$. What is the probability that the team scored at least $2$ goals?

The probability of winning a game is $0.3$. What is the probability of losing it?

In a survey of $2000$ people, it was found that $1200$ people have a bank account. What is the probability that a person chosen at random does not have a bank account?

If the probability of winning a game is 0.3, what is the probability of losing it?

A spinning wheel is divided into 8 equal sectors numbered 1 to 8. What is the probability of the spinner landing on a number divisible by 4?

A die is rolled once. What is the probability of getting an odd prime number?

Which of these cannot be the probability of an event?

A letter is chosen at random from the word 'PROBABILITY'. What is the probability that it is a 'B'?

A box contains 5 red marbles, 8 white marbles and 4 green marbles. If one marble is taken out of the box at random, what is the probability that the marble taken out will be white?

What is the probability of getting a number less than 7 when a standard die is rolled?

An integer is chosen from 1 to 100. What is the probability that its square root is also an integer?

A card is drawn from a 52-card deck. What is the probability that it is a black queen or a red king?

Three coins are tossed. What is the probability of getting at least one head and at least one tail?

If $P(A) = 0.4$ and $P(B) = 0.3$ are probabilities of mutually exclusive and exhaustive events $A$, $B$, and $C$, what is $P(C)$?

What is the probability of picking a Sunday from a week?

A bag has $2$ red, $2$ blue, and $2$ green balls. What is the probability of picking a green ball?

In a two-way table for gender (Male, Female) and preference (Tea, Coffee), how many cells represent the basic outcomes (e.g., Male-Tea)?

A table shows the result of 100 spins of a pointer on a circular board with colors: Red (25), Green (35), Blue (20), Yellow (20). What is the probability that the pointer does not land on Green?

In a tree diagram representing two tosses of a fair six-sided die, how many total outcome nodes are at the second level?

A frequency table of 200 people's heights: 140-150 cm (40), 150-160 cm (80), 160-170 cm (50), 170-180 cm (30). What is the probability that a person's height is between 150 cm and 170 cm?

A pair of dice is thrown. What is the probability that the sum is a multiple of 5?

A bag contains 4 red, 5 black, and 3 yellow balls. Two balls are drawn without replacement. What is the probability that neither is yellow?

Three light bulbs are chosen from a lot of 10 bulbs where 3 are defective. What is the probability that at least one is defective?