Probability

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating probability?

Back

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

Front

If a bag has 3 red marbles, 2 blue marbles, and 4 yellow marbles, how many total marbles are there?

Back

Total marbles = 3 (red) + 2 (blue) + 4 (yellow) = 9 marbles.

Front

What is the probability of pulling a red marble from a bag with 3 red, 2 blue, and 4 yellow marbles?

Back

Probability = 3/9 = 1/3.

Front

What is theoretical probability?

Back

Theoretical probability is the probability calculated based on the possible outcomes in a perfect scenario.

Front

In a bag with 30 candies (15 grape, 7 cherry, 3 lemon, 5 strawberry), what is the probability of drawing a lemon?

Back

Probability = 3 (lemons) / 30 (total candies) = 1/10.

Front

What is an example of an event with a probability of 1?

Back

An event that is certain to happen, such as rolling a number between 1 and 6 on a standard die.

Front

What is an example of an event with a probability of 0?

Back

An event that cannot happen, such as rolling a 7 on a standard die.

Front

If a bag contains 5 quarters, 2 dimes, and 4 pennies, what is the probability of picking a quarter?

Back

Probability = 5 (quarters) / 11 (total coins) = 5/11.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.