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EXAMPLE 1 Find the probability of A or B You roll a number cube. Find the probability that you roll a 2 or an odd number. SOLUTION Because 2 is an even number, rolling a 2 and rolling an odd number are mutually exclusive events. P(2 or odd) = P(2) + P(odd) 6 1 = + 3 4 = 6 = 2 3
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EXAMPLE 2 Find the probability of A or B You roll a number cube. Find the probability that you roll an even number or a prime number. SOLUTION Because 2 is both an even number and a prime number, rolling an even number and rolling a prime number are overlapping events. There are 3 even numbers, 3 prime numbers, and 1 number that is both. P(even or prime) = P(even) + P(prime) – P(even and prime) 3 6 = + – 1 5 6 =
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GUIDED PRACTICE for Examples 2 and 3 1. You roll a number cube. Find the probability that you roll a 2 or a 5. 1 3 ANSWER 2. You roll a number cube. Find the probability that you roll a number less than 4 or an odd number. 2 3 ANSWER
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