The multiplication rule is used when two outcomes can occur simultaneously and h

Question

The multiplication rule is used when two outcomes can occur simultaneously and have no effect on each other. For example, if there are 4 jugs, each with thirty balls numbered 1 through 30, what is the probability you will pull a ball numbered 5 out of the first jug? There is one ball numbered 5 in the first jug, so the probability is 1 out 30. What is the probability of pulling a ball 45 out of each of the sour jugs? Since each is independent you will multiply the probability. The addition rule is used when two things cavort occur simultaneously. For example, what are the odds of pulling ball #5 or ball #6 out of the first jug? Your cannot pull #5 and #6 simultaneously so we must use the addition rule and probability. What is the probability you will pull ball #5 or #6 from the first jug, and ball #5 from the remaining three jugs? Express your answer as a decimal rounded to two significant figures (e.g. 0.00000379 will be rounded to 0.0000036)

Explanation / Answer

There is one ball numbered 5 and numbered 6 in first jug so the probability that you will pull ball #5 or #6 ball is

P(#5 or #6) = 2/30

The number of ways of selecting #5 balls from remaining three jugs is

(1/30)*(1/30)*(1/30)

So requried probability is (2/30)*(1/30)*(1/30)*(1/30) = 0.0000025

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