Combined Events

"And" and "Or" rules

OR (either event): add the probabilities - like counting all the ways you could win a raffle with two different ticket colours.

AND (both events, independent): multiply the probabilities - like flipping a coin AND rolling a die at the same time; one outcome doesn't affect the other.

Example: P(heads on a coin) = 1/2. P(6 on a die) = 1/6. P(heads AND 6) = 1/2 × 1/6 = 1/12.

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Related Exercises

Combined event problems

A coin is tossed and a die rolled. Find P(tails and an even number).A bag has 3 red, 2 blue, …

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