Question 47807: 1. A pair of dice is toosed. Find the probability of getting
a. Two numbers which are both greater than 3?
b. At most a total of 5?
2. Two cards are drawn in succession from the deck of card with replacement. What is the probability that both cards are greater than 2 and less than 8?
3. If 3 books are picked at random from the shalf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that 2 novels and 1 book are selected?
4. The probability that a married man watched a certain television shows os 0.4 and the probability that a married woman watches the show is 0.5 the probability that a man watches the show, given that his wife does is 0.7. Find the probability that
a. A married couple watches the show and
b. at least 1 person of married couple will watch the show
Answer by Nate(3500)   (Show Source):
You can put this solution on YOUR website! 1. A pair of dice is toosed. Find the probability of getting
a. Two numbers which are both greater than 3?
consists of: 6,5, and 4
chances of getting in first roll = (3/6) = 1/2
chances of getting in second roll = (3/6) = 1/2
chances of getting numbers which are greater than three = (1/2)(1/2) = 1/4
b. At most a total of 5?
chances of getting sum[0] = 0
chances of getting sum[1] = 0
chances of getting sum[2] = 1
chances of getting sum[3] = 2
chances of getting sum[4] = 3
chances of getting sum[5] = 4
chances of getting at most a total of five = (1 + 2 + 3 + 4)/36 = 10/36 = 5/18
2. Two cards are drawn in succession from the deck of card with replacement. What is the probability that both cards are greater than 2 and less than 8?
consists of: 3,4,5,6, and 7
there are four different suits: 4*5 = 20 different cards that you want
(20/52)(20/52) = 400/2704 = 25/169
3. If 3 books are picked at random from the shelf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that 2 novels and 1 book are selected?
For this, you would need to find the possiblity of grabbing different novels and books over the total amount of books you grab. The total amount books is nine, but you only grab three (C(9,3) tells you the total amount of books you can grab). C(5,2) tells you that you take two books from the list of five novels. C(3,1) tells you that you take one book from the list of three books on poems.
C(5,2)C(3,1)/C(9,3) = 10*3/84 = 30/84 = 5/14
4. The probability that a married man watched a certain television shows as 0.4 and the probability that a married woman watches the show is 0.5 the probability that a man watches the show, given that his wife does is 0.7. Find the probability that
I am sorry; I do not fully understand the content you put. You could e-mail me at codestumper@hotmail.com to better explain.
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