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

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

Back

The formula is P(A and B) = P(A) × P(B).

Front

What is the probability of spinning an odd number on a spinner with numbers 1 to 6?

Back

There are 3 odd numbers (1, 3, 5) out of 6 total numbers, so the probability is P(odd) = 3/6 = 1/2.

Front

If a spinner has 3 green sections and 3 yellow sections, what is the probability of landing on green?

Back

P(green) = Number of green sections / Total sections = 3/6 = 1/2.

Front

What is the probability of flipping a coin and getting heads?

Back

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

Front

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

Back

P(rolling a 4) = 1/6, since there are 6 possible outcomes.

Front

What is the probability of picking a red marble from a bag containing 5 blue, 4 red, and 3 orange marbles?

Back

Total marbles = 5 + 4 + 3 = 12. P(red) = 4/12 = 1/3.

Front

If you spin a spinner twice, what is the probability of landing on yellow both times if yellow appears once on a spinner with 6 sections?

Back

P(yellow both times) = P(yellow) × P(yellow) = (1/6) × (1/6) = 1/36.

Front

What is the probability of choosing the letter 'M' from the word MATH?

Back

P(M) = 1/4, since there are 4 letters in total.

Front

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

Back

There are 3 even numbers (2, 4, 6) out of 6 total numbers, so P(even) = 3/6 = 1/2.