University:
Missouri State University
Course:
MTH 343 | Foundations of Probability and Statistics for Teachers
Academic year:

2020
Views:

209

Pages:

1
Author:

causentas5l7

ALGEBRA 2 Name: KEY Date: 10.7 Probability of Compound Events Compound Events: Two or more events put together to make ONE event the union or intersection of two events You will see the word "OR"-"OR" means to add probabilities together. Probability of Compound Events: Disjoint Events: events cannot happen at the same time Add probabilities together: P(AorB) = P(A) + P\{B\} Example: card \mathbb{P}(3) face card) There are no 3's that are face so these two events cannot happen at the same time P(3)+P(face card)=+==馬 4 12 525252 Overlapping Events: events can happen at the same time Add probabilities together and subtract the intersection (overlap) P(A or B) = P(A) + P(B)-P(overlap) Example: Choosing a black or a 3 P(blackoc 3 ) There are black 3's in a two events can happen at the same time =P(black)+P(3)-P(black 3)= (26e)/52 + 4/52 - 2/52 = 28/52 = boxed 7 13 Examples: 1) There are 7 red, 8 green, and 6 blue marbles in bag. Kate is going to select one marble at random. What is the probability that she will select a green or blue marble? total: 21 tro overlap = P(green or blue) = P(green) + P(blue)= + = = 6 21 2) A card is randomly selected from a deck of 52 cards. What is the probability that the card is a "10" or a "face card"? *no overlap P(10 or facecord) = P(10)+P(facecard) = + ==含 2 52 52 52 13 3) You roll a fair die. What is the probability that you roll a "1" or an even number? *no overlap P(1. or even)= P(1)+P(even) = + 4 2 3 G 4) In Ms. Carr's Math class, 9 of the 14 girls said they "like math", and 7 of the 16 boys said they "like math". If Ms. Carr randomly selects a student, what is the probability that shechooses a girl or someone who likes math? overlap total: 30 Like Math Total 14 16 30 P(girl)+P(likes math) - P(girl who likes math) 14/30 + 16/30 - 9/30 = 21/30 = boxed 1 10 Gurls 5) A card is randomly selected from a the card is a "face card" or "red"? *overlap P(face card or red) = P(face card)+P(red)-P(red face card) 12/52 + 26/52 - 6/52 = 32/52 = boxed 8 13 5) You roll a fair die. What is the probability #overlap P(4 or even) P(A)+P(even) - Pleven 4) Use the spinner for questions 1/6 + 3/6 - 1/6 = 3/6 = boxed 1 2 7) a black space or an odd? P (blac k)+P(odd)-P(bloc k odd)= 4/8 + 4/8 - 4/8 = 4/8 = boxed 1 2 | 8) a multiple of 3 or a white P(eral+of 3)+P(o4hife)-P(whole mut +of 3) 3,6 9) an odd or * a * 47 P(ocid)+P(4) 2/8 + 4/8 - 1/8 = boxed 5 8 10) a black 67 4/8 + 1/1 = boxed 2 8 N0"OR" NOT black co! P(blagKK)= boxed c 11) a ? P(factor of 6) + P(primefactor of (6) A 8 1 2 3 7 6 5 4 A

Probability of Compound Events Worksheet with Answers

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