Mutually Exclusive
class survey. Find the conditional probability that a than 2 hours of homework last night given that the student is a female. Did you do more than 2 hours of homework last night? Male Female Yes 6 10 No 8 8 There are 14 males and 18 females for a total of 32 students. A total of 16 students did more than 2 hours of homework, while 16 students did not. P(more than 2 hours | female) = P(more than 2 hours and female) P(female) 10 P(more than 2 hours | female) = 32 _ 10 18 18 32 The probability that a student did more than 2 hours of homework last night, given that he student is a female, is-. Exercises Heather tosses two number cubes. State whether or not the two events are mutually exclusive. Explain. 1) The sum rolled is even; the numbers are the same 2) The sum rolled is odd; both numbers are odd 3) The sum rolled is greater than 8; both numbers are less than 4 (elsmet | ebys noma)star 4) The sum rolled is a prime number; the sum rolled is greater than 7 elsm | cove ould ) (at A and B are mutually exclusive events. Find P(A or B). 5) P(A) = 0.35, P(B) = 0.12 6) P(A) = 41%, P(B) = 19%19) P(blue or green eyes | male) 20) P(female | brown eyes = 1, P(B) = 1 7 ) P ( A ) = . 8) P ( A ) = , P (B ) = 7 1 10 Lanny tosses a standard number cube. Find each probability. Express the answers as fractions. 9) P(odd or 5) 10) P(odd or greater than 1) 11) P(even or prime) 12) P(odd or prime) 13) P(1 or even) 14) P(less than 3 or greater than 3) Use the table below to find each conditional probability. Express the answers as decimals rounded to the nearest thousandth, if necessary. Male Female Blue Eyes 34 45 Green Eyes 61 90 Brown Eyes 88 74 15) P(green eyes | female) 16) P( blue eyes | male) 17) P(brown eyes | male) 18) P(green or brown eyes | female)T6 W Mutually Exclusive E C) What is the probability that a downtown worker rides the bus to work each day, given that the worker is female? Express the answer as a decimal rounded to the nearest thousandth. D) What is the probability that a downtown worker rides the train or the bus to work each day, given that the worker is male? Express the answer as a decimal rounded to the nearest thousandth. 24) William's batting average (chance of getting a hit) is 0.535 with runners in scoring position. What is the probability that William will get a hit during each of his next two attempts, given that runners are in scoring position? Round to the nearest thousandth.19) P(blue or green eyes | male ) 20) P(female | brown eyes) 21) There are 12 DVDs, 7 video games, 14 CDs, and 3 videotapes on Jaime's bedroom shelf. If Jaime selects an item at random from the shelf, what is the probability that it is a DVD or a video tape? Express the answer as a fraction. 22) Karen's book bag contains 3 novels, 1 biography, and 1 science book. Manny's book bag contains 1 math book, 2 science books, and 1 poetry book. Each student selects a book at random from his or her bag. What is the probability that either Karen's book is a novel or Manny's book is a math book? Express the answer as a decimal. 23) A survey of 200 downtown workers revealed that 31 females ride the train, 24 females ride the bus and 35 females car pool. The survey also found that 44 males ride the train, 38 males ride the bus and 28 males car pool. A) Complete the table below to organize the survey results. How do you get to work each day? Male Female Train Bus Car Pool B) Kyle wants to know what percent of the workers surveyed are likely to car pool to work each day, given that they are male. What type of probability does this represent
