on all four tosses? COy .40% 5. A thumbtack will land point down about 40% of th

Question

on all four tosses? COy .40% 5. A thumbtack will land point down about 40% of the time over many tosses. successive tosses of the tack are independent. Express the following probabilities as decimals (i.e., numbers between 0 and 1). (3 pts. each) a) What is the probability that the tack landspoint up pn the first toss? b) What is the probability that the tack lands point down on the first toss but point up on the second toss? 0.16 0.2 c) What is the probability that the tack lands point down on each of two tosses?

Explanation / Answer

A) P(te tack landing point up) = 1 - P(tack landing point down)

= 1 - 0.4

= 0.6

B) P(tack landing point down on first toss but point up on second)

= 0.4 x 0.6

= 0.24

C) P(point down on each of the two tosses) = 0.4x0.4

= 0.16

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