Theoretical Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on the possible outcomes in a perfect world, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

What is the probability of getting heads when tossing a fair coin?

Back

1/2

Front

How many possible outcomes are there when rolling two six-sided dice?

Back

There are 36 possible outcomes when rolling two six-sided dice (6 sides on the first die multiplied by 6 sides on the second die).

Front

What is the probability of rolling a sum of 7 with two dice?

Back

The probability of rolling a sum of 7 with two dice is 6/36 or 1/6, as there are 6 combinations that result in a sum of 7.

Front

If a standard deck of cards has 52 cards, what is the probability of drawing an Ace?

Back

The probability of drawing an Ace from a standard deck of cards is 4/52 or 1/13.

Front

What is the probability of drawing a red marble from a bag containing 3 red, 5 blue, and 2 green marbles?

Back

The probability of drawing a red marble is 3/10, as there are 3 favorable outcomes (red marbles) out of 10 total marbles.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated using the formula: P(Event) = Number of favorable outcomes / Total number of possible outcomes.

Front

What is the probability of selecting a marble that is not blue from a jar containing 7 red, 12 blue, 6 yellow, and 9 white marbles?

Back

The probability of selecting a marble that is not blue is 11/17, as there are 11 non-blue marbles out of a total of 38 marbles.

Front

What is the probability of rolling a number less than 3 on a six-sided die?

Back

The probability of rolling a number less than 3 (which includes 1 and 2) is 2/6 or 1/3.

Front

What is the probability of drawing a King or a Queen from a standard deck of cards?

Back

The probability of drawing a King or a Queen is 8/52 or 2/13, as there are 4 Kings and 4 Queens in a deck.