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6.4

6.4. Find Probabilities of Compound Events. Find the probability of A or B. Example 1. You randomly choose a card from a standard deck of 52 playing cards. Find the probability that you choose a 9 or a King. Find the probability that you choose an Ace or a spade. Solution.

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6.4

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  1. 6.4 Find Probabilities of Compound Events Find the probability of A or B Example 1 You randomly choose a card from a standard deck of 52 playing cards. • Find the probability that you choose a 9 or a King. • Find the probability that you choose an Ace or a spade. Solution • Choosing a 9 or a King are mutually exclusive events.

  2. 6.4 Find Probabilities of Compound Events Find the probability of A or B Example 1 You randomly choose a card from a standard deck of 52 playing cards. • Find the probability that you choose a 9 or a King. • Find the probability that you choose an Ace or a spade. Solution • Because there is an Ace of spades, choosing an Ace or spade are ___________________. There are 4 Aces, 13 spades, and 1 Ace of spades. overlapping events

  3. 6.4 Find Probabilities of Compound Events Find the probability of A and B Example 2 You roll two number cubes. What is the probability that you roll a 1 first and a 2 second? Solution independent The events are _____________. The number on one number cube does not affect the other. P(2) P(1)

  4. 6.4 Find Probabilities of Compound Events Find the probability of A and B Example 3 Markers A box contains 8 red markers and 3 blue markers. You choose one marker at random, do not replace it, then choose a second marker at random. What is the probability that both markers are blue? Solution Because you do not replace the first marker, the events are __________. Before you choose a marker, there are 11 markers, 3 of them are blue. After you choose a blue marker, there are 10 markers left and two of them are blue. So, the ______________________ that the second marker is blue given that the first marker is blue, is dependent conditional probability 3 10

  5. 6.4 Find Probabilities of Compound Events Find the probability of A and B Example 3 Markers A box contains 8 red markers and 3 blue markers. You choose one marker at random, do not replace it, then choose a second marker at random. What is the probability that both markers are blue? Solution P(blue) P(blue given blue)

  6. 6.4 Find Probabilities of Compound Events Checkpoint. Complete the following exercises. • In a standard deck of cards, find the probability you randomly select a King of diamonds or a spade. Choosing a King of diamonds or a spade are mutually exclusive events.

  7. 6.4 Find Probabilities of Compound Events Checkpoint. Complete the following exercises. • In Example 3, suppose there are also 4 orange markers in the box. Calculate the probability of selecting a blue marker and then an orange marker, without replacement. P(blue) + P(orange given blue)

  8. 6.4 Find Probabilities of Compound Events Pg. 369, 6.4 #1-11

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