3. You are given P[A U B] = 0.7 and P[A U B'] = 0.9. Calculate P[A].4. You have 10 cards: 3 green and 7 yellow. Your friend has 15 green and anunknown number of yellow cards. You selected a card from your cards, andanother one from your friend's cards. The probability that the two cards arethe same color is 0.40. Calculate the number of yellow cards with your friend.5. A company has 10,000 clients. Each client is classified as(i)young or old;(ii) male or female; and(iii) married or single.Of these clients, 3500 are young, 5100 are male, and 7200 are married. The clientscan also be classified as 1350 young males, 3110 married males, and 1450 youngmarried persons. Finally, 650 of the clients are young married males. Calculate thenumber of the company’s clients who are young, female, and single.

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You are given P[A U B] = 0.7 and P[A U B'] = 0.9. Calculate P[A]. %3D

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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Question

3. You are given P[A U B] = 0.7 and P[A U B'] = 0.9. Calculate P[A].
4. You have 10 cards: 3 green and 7 yellow. Your friend has 15 green and an
unknown number of yellow cards. You selected a card from your cards, and
another one from your friend's cards. The probability that the two cards are
the same color is 0.40. Calculate the number of yellow cards with your friend.
5. A company has 10,000 clients. Each client is classified as
(i)
young or old;
(ii) male or female; and
(iii) married or single.
Of these clients, 3500 are young, 5100 are male, and 7200 are married. The clients
can also be classified as 1350 young males, 3110 married males, and 1450 young
married persons. Finally, 650 of the clients are young married males. Calculate the
number of the company’s clients who are young, female, and single.

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