Compound Probability

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.

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

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

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

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

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

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

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

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

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