Section P.5 Overlapping Possibilities

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Section P.5 Overlapping Possibilities

1. Konrad draws one card from a standard deck of cards 1. Konrad draws one card from a standard deck of cards. What is the probability the card is either a Jack or a heart?

4. From the set {1, 2, 3, …, 50}, a number is selected at random 4. From the set {1, 2, 3, …, 50}, a number is selected at random. What is the probability the number is divisible by either 2 or 3?

6. The probability that a married man drinks Mountain Dew is 0. 6 6. The probability that a married man drinks Mountain Dew is 0.6. The probability that a married woman drinks Mountain Dew is 0.9. The probability that a married main drinks Mountain Dew if it is known that his wife drinks Mountain Dew is 0.65. What is the probability that a married woman drinks Mountain Dew if it is known that her husband drinks it?

At the Fall Fest, six people were successful in dunking at least one of the following: Dr. Jensen, Dr. Lee, Mr. Aiu, Mrs. Flitcraft. 4 people dunked Dr. Jensen 4 dunked Dr. Lee 3 dunked Mr. Aiu 4 dunked Mrs. Flitcraft 2 dunked Dr. Jensen and Mr. Aiu 2 dunked Dr. Jensen and Mrs. Flitcraft 2 dunked Dr. Lee and Mr. Aiu 3 dunked Dr. Lee and Mrs. Flitcraft 2 dunked Mr. Aiu and Mrs. Flitcraft 1 dunked Dr. Jensen, Dr. Lee, and Mr. Aiu 2 dunked Dr. Jensen, Dr. Lee, and Mrs. Flitcraft 2 dunked Dr. Lee, Mr. Aiu, and Mrs. Flitcraft and 1 dunked all four. If one of the six is selected at random, what is the probability he/she dunked Dr. Jensen and Dr. Lee?

9. In a certain class, there are 21 students who like Ke$ha and 17 students who like Pink. If 12 of the students like both Ke$ha and Pink, and if all students like at least one of the two, find the probability that a randomly selected student in this class likes only Pink.

14. The probability that Jon will do his advanced algebra homework tonight is 0.8, while the probability he will do his English is 0.6. If the probability he will do either his advanced algebra or English is 1, what is the probability he will do both?

18. The following numbers of people said yes when asked whether or not they follow the Fire, Sox, and/or the Cubs. Fire 19 Fire and Sox 11 Sox 19 Fire and Cubs 12 Cubs 15 Sox and Cubs 9 If 28 people were interviewed, what is the probability that a person follows the Fire if it is known he/she follows the Cubs and Sox?