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What is the probability of two or more independent events occurring?

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Presentation on theme: "What is the probability of two or more independent events occurring?"— Presentation transcript:

1 What is the probability of two or more independent events occurring?
Independent events are events that are distinct and separate. Each event does not influence the outcome of the other event. Examples of independent events are: flipping a coin multiple times, rolling dice picking marbles out of a bag Probability

2 What is probability? Probability
Probability is the likelihood that a certain event will occur. Probability=number of desired outcomes/number of possible outcomes. What is the probability of getting heads when you flip a coin? ________ Probability

3 Answer Heads is one side of the coin and there are two total sides of the coin (heads and tails) so the probability of getting heads is ½. Probability

4 Dice! Probability What is the probability of rolling a six on a six sided die? ________ One side has a six on it, while other others have different numbers. There are six total sides. So, the probability is 1/6.

5 How do we calculate the probability of independent events occurring?
In order to calculate the probability of independent events occurring, you must multiply the probabilities of each independent event together. Probability

6 Example For example, the probability of flipping a coin twice and receiving two heads is: the probability of getting heads the first time (1/2) x the probability of getting heads the second time (1/2). So that probability is 1/4. What is the probability of rolling a six twice in a row on a six sided die? 1/6 x 1/6 or 1/36. Probability

7 Probability problems Probability
A bag contains eight marbles, four red, 2 blue, and two green. If you pick a marble from that bag, what is the probability that it will be red? _____ What about blue? _______ What about green?_______ Probability

8 More Marbles Probability
What is the probability that you will pick two green marbles in a row? _________ Assume that you place the marble back into the bag after you pick it. What if you did not replace the marbles? Probability


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