Question

1. Use the counting techniques from the last chapter. A bag contains four red marbles, three...

1. Use the counting techniques from the last chapter. A bag contains four red marbles, three green ones, one fluorescent pink one, two yellow ones, and two orange ones. Suzan grabs five at random. Find the probability of the indicated event.

She gets all the red ones, given that she gets the fluorescent pink one.

2. According to a certain news poll, 75% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 44% agreed that it would be a good idea to invest part of their Social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places.) HINT [See Quick Examples on Independence.]

Math   Statistics-And-Probability   
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Answer #1

4 red

3 green

1 fluorescent pink

2 yellow

Let be the event A that she gets all the red ones, and B let be the event that she does get the fluorescent pink

We need to find out P(A|B)

n(s) is the total number of ways that you can choose 5 marbles from 10

C(10,5)= 252

we need the total number of ways that she can choose 4 red marbles from 4, then choose the fourth one from 1 (the last marble only be fluorescent pink).

C(4,4)*C(1,1)= 1*1=1

we have to choose one fluorescent marble out of 5

C(1,1)*(4,9)=5*1=126

P(B)=126/252

now

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