Question

In: Math

A basket contains 100 balls.40 are red,45 are orange and 15 are yellow.Three balls will be...

A basket contains 100 balls.40 are red,45 are orange and 15 are yellow.Three balls will be drawn out one at a time at random with replacement.Match the probabilities.

(a) P(all three draws are red)

(b) P(all three draws are orange)

(c) P(at least one draw is red)

(d) P(at least one draw is orange)

2.Refer to the previous question about the balls in the basket.Instead of drawing out three balls one at a time with repalcement, suppose we selected balls one at a time at random without replacement until all the yellow balls were removed from the basket. Y=the number of draws necessary.What are the possible values of Y.

(a)[15,16,17,18...] (b)[15,1617,18...100] (c)[0,1,2,3...15] (d)[1,2,3,...85]

Expert Solution

(a) P(all three draws are red)

(b) P(all three draws are orange)

(c) P(at least one draw is red)

P(at least one draw is red) = 1 - P(no red draw)

(d) P(at least one draw is orange)

P(at least one draw is orange) = 1 - P(no orange draw)

2.Refer to the previous question about the balls in the basket.Instead of drawing out three balls one at a time with repalcement, suppose we selected balls one at a time at random without replacement until all the yellow balls were removed from the basket. Y=the number of draws necessary.What are the possible values of Y.

(b)[15,1617,18...100]

milcah answered 1 year ago

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