Theoretical Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

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How do you calculate the probability of rolling a specific number on a die?

Back

The probability of rolling a specific number on a die is calculated as 1 divided by the total number of sides on the die (e.g., 1/6 for a standard die).

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What is the probability of rolling a 4 on a die?

Back

1/6

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

Back

The numbers less than 3 on a die are 1 and 2, so the probability is 2/6 or 1/3.

Front

If you roll two dice, how do you find the probability of two independent events?

Back

Multiply the probabilities of each event. For example, P(rolling a 4) * P(rolling less than 3).

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What is the probability of selecting a brown cow from a group of cows?

Back

The probability is calculated as the number of brown cows divided by the total number of cows.

Front

How do you calculate the probability of two cows escaping, one brown and one white?

Back

Multiply the probability of selecting a brown cow first by the probability of selecting a white cow second.

Front

What is the total number of jelly beans in the jar?

Back

12 (strawberry) + 17 (blueberry) + 5 (pineapple) + 13 (coconut) = 47 jelly beans.

Front

What is the probability of selecting either a strawberry or coconut jelly bean?

Back

The probability is (12 + 13) / 47 = 25/47.

Front

What is the probability of selecting a black or white marble from a bag?

Back

The probability is calculated as the number of black and white marbles divided by the total number of marbles.