Compound Probability

Front

What is Compound Probability?

Back

Compound Probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

Front

How do you calculate P(not A)?

Back

P(not A) = 1 - P(A). It represents the probability that event A does not occur.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) × P(B). This is used when the outcome of one event does not affect the other.

Front

What is the experimental probability?

Back

Experimental probability is calculated based on the outcomes of an experiment. It is given by the formula: P(event) = (Number of favorable outcomes) / (Total number of trials).

Front

If you roll a single die, what is the probability of rolling a 3?

Back

P(rolling a 3) = 1/6, since there is one favorable outcome (rolling a 3) out of six possible outcomes.

Front

How many possible outcomes are there when rolling two dice?

Back

There are 36 possible outcomes when rolling two dice, calculated as 6 (for the first die) × 6 (for the second die).

Front

What is the probability of pulling a green marble from a bag containing 8 marbles, 2 of which are green?

Back

P(pulling a green marble) = 2/8 = 1/4.

Front

What is the probability of landing on green twice when spinning a spinner with 6 equal sections, 2 of which are green?

Back

P(green on first spin) × P(green on second spin) = (2/6) × (2/6) = 4/36 = 1/9.

Front

What does it mean for two events to be independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the probability of getting a sum of 7 when rolling two dice?

Back

There are 6 combinations to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of 36 total outcomes, so P(sum of 7) = 6/36 = 1/6.