Flashcards on Probability

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What is the definition of probability?

Probability is a measure of the likelihood that a specific event will occur.

What is the formula to calculate the probability of an event?

Probability (P) = Number of favorable outcomes / Total number of possible outcomes

If a fair six-sided die is rolled, what is the probability of rolling a 3?

The probability of rolling a 3 is 1/6.

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a blue ball?

The probability of drawing a blue ball is 3/10.

A deck of playing cards has 52 cards. What is the probability of drawing a King?

The probability of drawing a King is 4/52 or 1/13.

If two fair six-sided dice are rolled, what is the probability that the sum of the numbers rolled is 7?

The probability of rolling a sum of 7 is 6/36 or 1/6.

In a class of 30 students, 20 wear glasses. If a student is selected at random, what is the probability that the student wears glasses?

The probability that a randomly selected student wears glasses is 20/30 or 2/3.

A bag contains 10 red marbles, 5 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability of drawing a red or blue marble?

The probability of drawing a red or blue marble is (10+5)/18 or 15/18.

If a fair coin is tossed 3 times, what is the probability of getting all heads?

The probability of getting all heads is 1/8.

A box contains 6 black balls and 4 white balls. Three balls are drawn at random without replacement. What is the probability that all three balls are black?

The probability of drawing three black balls is (6/10) * (5/9) * (4/8) or 2/15.

If a card is drawn at random from a standard deck of 52 playing cards, what is the probability of drawing a heart or a spade?

The probability of drawing a heart or a spade is (13/52) + (13/52) or 26/52.

In a bag, there are 8 red balls, 6 blue balls, and 4 green balls. If two balls are drawn at random without replacement, what is the probability of getting both red balls?

The probability of getting two red balls is (8/18) * (7/17) or 28/153.

If a fair six-sided die is rolled twice, what is the probability of getting a sum of 9 or more?

The probability of getting a sum of 9 or more is 10/36 or 5/18.

A box contains 4 red marbles, 3 blue marbles, and 5 green marbles. Two marbles are drawn at random with replacement. What is the probability that both marbles are red?

The probability of drawing two red marbles is (4/12) * (4/12) or 1/9.

If a fair coin is tossed 5 times, what is the probability of getting at least 4 heads?

The probability of getting at least 4 heads is 5/32.

What is the definition of probability?

Probability is a measure of the likelihood that a specific event will occur.

What is the formula to calculate the probability of an event?

Probability (P) = Number of favorable outcomes / Total number of possible outcomes

If a fair six-sided die is rolled, what is the probability of rolling a 3?

The probability of rolling a 3 is 1/6.

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a blue ball?

The probability of drawing a blue ball is 3/10.

A deck of playing cards has 52 cards. What is the probability of drawing a King?

The probability of drawing a King is 4/52 or 1/13.

If two fair six-sided dice are rolled, what is the probability that the sum of the numbers rolled is 7?

The probability of rolling a sum of 7 is 6/36 or 1/6.

In a class of 30 students, 20 wear glasses. If a student is selected at random, what is the probability that the student wears glasses?

The probability that a randomly selected student wears glasses is 20/30 or 2/3.

A bag contains 10 red marbles, 5 blue marbles, and 3 green marbles. If a marble is drawn at random, what is the probability of drawing a red or blue marble?

The probability of drawing a red or blue marble is (10+5)/18 or 15/18.

If a fair coin is tossed 3 times, what is the probability of getting all heads?

The probability of getting all heads is 1/8.

A box contains 6 black balls and 4 white balls. Three balls are drawn at random without replacement. What is the probability that all three balls are black?

The probability of drawing three black balls is (6/10) * (5/9) * (4/8) or 2/15.

If a card is drawn at random from a standard deck of 52 playing cards, what is the probability of drawing a heart or a spade?

The probability of drawing a heart or a spade is (13/52) + (13/52) or 26/52.

In a bag, there are 8 red balls, 6 blue balls, and 4 green balls. If two balls are drawn at random without replacement, what is the probability of getting both red balls?

The probability of getting two red balls is (8/18) * (7/17) or 28/153.

If a fair six-sided die is rolled twice, what is the probability of getting a sum of 9 or more?

The probability of getting a sum of 9 or more is 10/36 or 5/18.

A box contains 4 red marbles, 3 blue marbles, and 5 green marbles. Two marbles are drawn at random with replacement. What is the probability that both marbles are red?

The probability of drawing two red marbles is (4/12) * (4/12) or 1/9.

If a fair coin is tossed 5 times, what is the probability of getting at least 4 heads?

The probability of getting at least 4 heads is 5/32.

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