An hat contains 171 slips of paper, 83 of which are Blue. Two slips are selected

Question

An hat contains 171 slips of paper, 83 of which are Blue. Two slips are selected at random from the hat. (a) If the selection is made with replacement (the first slip is put back into the hat before drawing the second slip), the probability that both slips are Blue is ? . (b) If the selection is made with replacement (the first slip is put back into the hat before drawing the second slip), the probability that both slips are Pink is? (c) If the selection is made without replacement (the first slip is not put back into the hat before drawing the second slip), the probability that both slips are Blue is? . (d) If the selection is made without replacement (the first slip is not put back into the hat before drawing the second slip), the probability that both slips are Pink is?

Explanation / Answer

a) :P(both are blue) = 83/171 * 83/171 = o.24

b) P(both are pink) = 88/171 *88/171 = 0.26

c) P(both are blue) = 83/171 * 82/170 = 0.23

d) P(both are pink) = 88/171 * 87/170 = 0.26

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