Question

In: Statistics and Probability

would like you to imagine that you have a black bag full of 20 marbles. All...

would like you to imagine that you have a black bag full of 20 marbles. All the marbles contained in the bag are the same size, and texture. The marbles in the bag are 5 red, 5 blue, 5 yellow and 5 green.

What is the probability of pulling out 2 blue marbles from the bag assuming the first one is not replaced?

What is the probability of pulling out 2 blue marbles from the bag assuming that the first one is replaced?

Expert Solution

Solution:

Given: The marbles in the bag are 5 red, 5 blue, 5 yellow and 5 green. Thus total marbles in a bag are = 20 marbles.

Part a) Find the probability of pulling out 2 blue marbles from the bag assuming the first one is not replaced.

Since for first draw , we have 5 blue marbles out of 20 marbles and we are not relacing this blue marble, so we have 4 blue marbles and total 19 marbles in that bag.

thus probability of second blue marble would be 4/19

thus

Part b) Find the probability of pulling out 2 blue marbles from the bag assuming that the first one is replaced.

Here we are replacing first selected marble in the bag, hence there is no change in total marbles and number of blue marbles in the bag for second draw.

Thus we have:

orchestra answered 1 year ago

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