Question

There are millions marbles in a bag (15% of them are white, 35% of them are...

There are millions marbles in a bag (15% of them are white, 35% of them are green, and 50% of them are black). One by one, randomly select the marbles until you have 5 green marbles. The number of marbles selected was recorded.

What is the probability that you will have more than 10 marbles?

What is the probability that you will have less than 15 marbles?

There are millions marbles in a bag (20% of them are white, 55% of them are green, and 25% of them are black). One by one, randomly select the marbles until you have 10 green marbles. The number of marbles selected was recorded.

What is the probability that you will have more than 10 non-green marbles?

What is the probability that you will have less than 10 non-green marbles?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

1)a) probability that you will have more than 10 marbles =P(at most 4 green marble in first 10 marbles)

= =0.751496

b) probability that you will have less than 15 marbles =P(at least 5 green marble in first 14 marble)

=1-P(at most 4 green marble in first 14 marbles)=1-

=1-0.422723 =0.577277

2)

a) probability that you will have more than 10 non-green marble =P(at mst 9 green marble in first 20)

= =0.249289

b) probability that you will have less than 10 non-green marbles =P(at least 10 green marble in first 19)

=1-P(at most 9 green marble in first 19)=1- =1-0.328964 =0.671036

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