Question

A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(D, D) if two cards are randomly selected with replacement.

one third
two thirds
two sixths
four ninths

Answer 1

4/9

Explanation:

got the answer correct

Answer 2

(d) 4/9

Explanation:

You want the probability of drawing D, D from a set of cards {A, D, D} if two are drawn with replacement.

P(D, D)

The probability of drawing a D is 2/3. The probability of doing it again is the same. Thus, the probability of doing it twice, assuming the draws are independent, is ...

P(D, D) = P(D)·P(D) = (2/3)(2/3) = 4/9

P(D, D) = 4/9

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