Exploring Compound Probability with Dice

The likelihood of an event occurring based on past events

The likelihood of two independent events happening together

The total number of possible outcomes in an event

The probability of an event not happening

1/3

1/6

1/12

1/36

By multiplying the probabilities of both events

By dividing the probability of one event by the other

By subtracting the probabilities of both events

By adding the probabilities of both events

There are 36 dice involved in the experiment

There is a 36% chance of rolling a three or a five with any dice

There are 36 different outcomes when rolling one dice

There is a 1 in 36 chance of rolling a three with the green dice and a five with the blue dice together

The expected probability of an event occurring based on the total number of outcomes

The probability of an event not occurring

The probability of an event occurring based on actual experiments

The probability of an event occurring once in every experiment

4/36

1/9

1/6

1/36

Four times

Nine times

Thirty-six times

One time

Theoretical probability is based on the total number of outcomes, while experimental is based on actual experiments

Experimental probability can only be calculated after the event has occurred

Theoretical probability is based on actual results, while experimental is not

There is no difference; they are the same

Due to calculation errors

Because of the limited number of trials

Theoretical probability is always accurate

Experimental probability does not account for all outcomes

It occurred exactly as expected

It occurred less frequently than expected

It occurred more frequently than expected

The result was inconclusive