2.4 Independent Events

Compound Event: a situation involving two or more individual events.

Independent Events: when the occurrence of one event has no effect on the occurrence another event.

Examples:

• Rolling a six sided die and flipping a coin.
• Repeated trials of flipping a coin
• Spins on a Roulette Table

Ex 1

(a) A coin is flipped and turns up heads. What is the probability that the second flip will also turn up heads?

(b) A coin is flipped four times and lands heads each time. What is the probability that the fifth flip will land heads?

Product Rule for Independent Events

P(A and B) = P(A) P(B)

Ex 2

A coin is flipped while a die is rolled. What is the probability of the coin landing heads and the die rolling a 5?

p. 334#1-4,6,7,10,16