card is drawn from a well-shuffled deck of 52 playing cards, the result recorded, and the card replaced. If the experiment is repeated 5 times, what is the probability of obtaining 2 spades and 1 heart?

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.CT: Chapter Test
Problem 11CT: Three people are chosen at random from a group of live men and ten women. What is the probability...
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  1. A card is drawn from a well-shuffled deck of 52 playing cards, the result recorded, and the card replaced. If the experiment is repeated 5 times, what is the probability of obtaining 2 spades and 1 heart?
  2. Find the probability of obtaining 2 ones, 1 two, 1 three, 2 fours, 3 fives, and 1 six in 10 rolls of a balanced die.
    1. On the average, a certain intersection results in 3 traffic accidents per month. What is the probability that in any given month at this intersection that:
    1. exactly 5 accidents will occur?
    2. less than 3 accidents will occur?
    3. at least 2 accidents will occur?
  3. 12. A certain area of the eastern United States is, on the average, hit by 6 hurricanes a year. Find the probability that in a given year this area will be hit by

    1. fewer than 4 hurricanes.
    2. anywhere from 6 to 8 hurricanes.
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