6.2
Independent Events
Objectives:
- To solve probability questions involving independent events.
Compound Event ___________________________________________________
___________________________________________________
Independent Events __________________________________________________
__________________________________________________
Formula for events A and B:
P(A and B) = P(A) P(B)
Example: You toss a fair coin and a die with the numbers 1 - 6.
What is the probability you get a tails and a 4?
Event A - tossing the coin P(tails) = ________
Event B - rolling the die
P(4) = ________
P(tails and a 4) = ________ ________ = ________
You have a piggy bank with 6 quarters and 4 dimes in it. Find the probability
of shaking out a dime and then a quarter, if the first coin is replaced before
shaking out the second coin.
Event A – __________________
P(______) = ________
Event B – __________________
P(______) = ________
P(_________________) = ________ ________ = ________
A jar contains 2 green and 3 red marbles. A marble is drawn at
random and is replaced. A second marble is drawn from the jar.
What is the probability that both marbles are red?
P(red then red) = ________ ________ = ________
A spinner is divided into 8 equal sections, numbered 1 through 8.
If the arrow is spun twice, what is the probability that it lands on
5 both times.
P(5 and 5) = ________ ________ = ________