Basic and Conditional Probability

Front

What is Experimental Probability?

Back

Experimental Probability is what actually happens in an experiment.

Front

What is Theoretical Probability?

Back

Theoretical Probability is the likelihood of an event occurring based on all possible outcomes.

Front

How do you calculate the probability of an event?

Back

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

Front

If a bag has 3 red marbles, 2 blue marbles, 4 green marbles, and 1 yellow marble, what is the total number of marbles?

Back

Total marbles = 3 + 2 + 4 + 1 = 10.

Front

What is the theoretical probability of pulling a red marble from a bag with 3 red marbles out of 10 total marbles?

Back

Theoretical Probability = 3/10.

Front

What does conditional probability refer to?

Back

Conditional Probability refers to the probability of an event occurring given that another event has already occurred.

Front

What is the formula for conditional probability?

Back

P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of A given B.

Front

If the probability of a student playing sports is 5/15, what is the probability of them not playing sports?

Back

Probability of not playing sports = 1 - P(playing sports) = 1 - 5/15 = 10/15.

Front

What is the probability that a person picked will be a boy given they speak German?

Back

The probability is 0.7273.

Front

What is the probability of pulling a green marble if the experimental probability is 8/25?

Back

The experimental probability of pulling a green marble is 8/25.