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 jar contains 2 pink, 6 red, and 4 blue marbles, what is the total number of marbles?

Back

Total marbles = 2 + 6 + 4 = 12.

Front

What is the probability of picking a red or blue marble from a jar with 2 pink, 6 red, and 4 blue marbles?

Back

Probability = (Number of red + Number of blue) / Total marbles = (6 + 4) / 12 = 10/12 = 5/6.

Front

In a bag with 3 red, 4 blue, 2 green, and 6 clear marbles, what is the probability of pulling a green marble?

Back

Probability = Number of green marbles / Total marbles = 2 / (3 + 4 + 2 + 6) = 2/15.

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes, assuming all outcomes are equally likely.

Front

If a bag has 3 red, 2 blue, and 4 yellow marbles, what is the probability of pulling a red marble?

Back

Probability = Number of red marbles / Total marbles = 3 / (3 + 2 + 4) = 3/9 = 1/3.

Front

What is the probability of getting tails when tossing a coin?

Back

Probability = 1/2, since there are two possible outcomes: heads or tails.

Front

What is the probability of rolling an even number on a 6-sided die?

Back

Probability = Number of even outcomes (2, 4, 6) / Total outcomes = 3/6 = 1/2.

Front

What is the combined probability of two independent events?

Back

Combined probability = Probability of Event A * Probability of Event B.