Please help find c and d thank you Your answers as a fraction, or as a decimal r

Question

Please help find c and d thank you Your answers as a fraction, or as a decimal rounded to 3 places. Consider a bag of 30 marbles where 15 of the marbles are white, 10 of them are red, and 5 of them are black. Find the following probabilities. Draw one marble. What is the probability that it is red? Draw one marble. What is the probability that it is not red? Draw two marbles (without replacement). Given that the first marble is red, what is the probability that the second marble is red? Draw two marbles (without replacement). What is the probability that at least one of them is not red? (This is the complement of both marbles being red)

Explanation / Answer

c)

If the first one is red, then only 9 red remain out of 29.

hence,

P = 9/29 = 0.310344828 [ANSWER]

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d)

Note that

P(both red) = (10/30)*(9/29) = 0.103448276

Thus,

P(at least one not red) = 1 - P(both red)

= 1 - 0.103448276

= 0.896551724 [ANSWER]

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