Chapter 12 Sec 4. Multiplying Probability. Independent Events. In situations with two independent events, you can find the probability of both events occurring if you know the probability of each event occurring. Example 1.
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Sammie Jo has 9 dimes and 7 pennies in her pocket. She randomly selects one coin, looks at it, and replaces it. She then selects another coin. What is the probability that both coins are dimes?
Find the probability of each event. Seeing as both event are independent and the same…
To pull two dimes
When three dice are rolled, what is the probability that two dice show 5 and the third die shows an even number?
Jacob has a stack of cards consisting of 10 hearts, 8 spades, and 7 clubs. If he selects a card at random, what is the probability that it is a heart or a club?
Zoe made a list of 9 comedies and 5 adventure movies she wanted to see. She plans to select 4 titles at random to watch this weekend. What is the probability that at least two of the films selected are comedies?
The term at least implies 2, 3, or 4 films could be comedies. SO, P(2) + P(3) + P(4)
What is the probability of drawing a queen or a diamond from a deck of cards? Since it is possible to draw the queen of diamonds, these events are not mutually exclusive, they areinclusive events.
There are 2400 subscribers to an Internet service provider. Of these, 1200 own Brand A computers and 500 own Brand B computers, and 100 own both A and B. What is the probability that a subscriber selected at random owns either Brand A or Brand B?