[YEAR 08 MATHEMATICS]: 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 difference between theoretical and experimental probability?

Back

Theoretical probability is based on the expected outcomes in a perfect world, while experimental probability is based on actual experiments and observations.

Front

How do you calculate the probability of an event?

Back

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

Front

What is an example of a theoretical probability?

Back

The probability of rolling a 3 on a fair six-sided die is 1/6.

Front

What is an example of an experimental probability?

Back

If you roll a die 60 times and get a 3 on 10 of those rolls, the experimental probability of rolling a 3 is 10/60 or 1/6.

Front

How do you find the probability of selecting a boy from a group of boys and girls?

Back

Probability = (Number of boys) / (Total number of boys and girls).

Front

What is the probability of pulling a green marble from a bag containing 8 green marbles and 17 red marbles?

Back

Probability = 8 / (8 + 17) = 8/25.

Front

If the theoretical probability of an event is 1/4, how many times would you expect it to occur in 100 trials?

Back

Expected occurrences = (Theoretical probability) x (Number of trials) = (1/4) x 100 = 25.

Front

What is the probability of rolling a sum of 4 with two dice?

Back

The probability of rolling a sum of 4 is 3/36 or 1/12.

Front

How do you determine the number of outcomes when rolling two dice?

Back

The total number of outcomes when rolling two dice is 6 (for the first die) x 6 (for the second die) = 36.