x Probability - Independent Events B. Independent Events A. Review: Probability of a single event P(rolling a multiple of 3) = P(not selecting a vowel in "MATH") = B. Independent Events Definition: if the outcome one event does not affect the outcome of the second event How do we find the probability of two events? x _________ _________ (prob. of first event) (prob. of second event) What is the probability of getting a head and a 3 when rolling a die and tossing a coin?
Sample Problems: 1.) You toss a coin twice. What's the probability of getting two tails? P (T, T) 2.) You roll two dice. What's the probability of getting 2 fives? P (5, 5)
3.) You roll a number cube once. Then you roll it again. What is the probability that you get a 2 on the first roll and a number greater than 4 on the second roll? 4.) You roll three dice. What's the probability of getting 3 sixes?
a.) P(red, 3) = b.) P(not green, even) = Blue Yellow 5.) Find the probability if you spin the spinner and roll the number cube. a.) P(red, 3) = b.) P(not green, even) =
S Q U A R E 6.) Replacement Problem - Find each probability if you select one tile from the word "SQUARE", replace it, then pick a second tile. a.) P(vowel, vowel) = b.) P(S, consonant) =
Demonstrate Understanding: 1.) Find the following probability when rolling 2 number cubes. P(odd, even) = 2.) Find the probability of getting a heads and a number less than 3 when flipping a coin and rolling a die. P(H,# less than 3) 3.) What is the probability of selecting a vowel and a consonant when selecting two letters from the letters M R S P A T E K with replacement? P(vowel, consant)
PEANUT BUTTER 1.) P(T,E) = 2.) P(P,B) 3.) P(P, consonant) Find each probability if you select one letter from the letters "Peanut butter", replace it, then pick a second tile. PEANUT BUTTER 1.) P(T,E) = 2.) P(P,B) 3.) P(P, consonant) 4.) P(vowel, vowel)