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Probability of Independent Events Section 11.5 Vocabulary • Independent event - two events whose occurrence of one event DOES NOT affect the likelihood that the other event will occur • Examples: – Fliping a coin and spinning a spinner – drawling a marble, replacing it, and then drawling another marble – a girl puppy is born first and a boy puppy is born second Things to Know Finding the Probability of Two Independent Events Step 1: Find the probability of A = P(A) Step 2: Find the probability of B = P(B) Step 3: Multiply the probability of A by the probability of B = P(A) x P(B) Step 4: Simplify your fraction Example 1 A number cube is rolled and a coin is tossed. Find the probability of rolling a 2 and landing on heads. Your Turn A number cube is rolled and the spinner is spun. Find the probability of rolling an even number and spinning a 4. Example 2 To win the grand prize, Ted has to choose one of 10 keys to match with one of 3 treasure chests. What are Ted’s chances of winning? Your Turn Sarah placed 4 yellow chips and 8 pink chips into a bag. She selected 1 chip without looking, replaced it, and then selected a second chip. Find the probability that she first selected a yellow chip and then selected a pink chip. Example 3 A coin is tossed, and the spinner shown is spun. Find the probability of tossing heads and spinning a 3. Your Turn • Find the probability of each event. 1. P(tails and even) 2. P(heads and less than 4) Assignment • Page 452 #9-13, #17-25, skip #23 in red textbook