Michael has 3 quarters, 2 dimes, and 3 nickels in his pocket. He randomly draws two coins from his pocket, one at a time, and they are both dimes. He says the probability of that occurring is 1/4 because 2 of the 8 coins are dimes. Is he correct? Explain. Answer in 2-3 sentences
No, Michael is incorrect. The probability of drawing two dimes in a row is found by multiplying the probabilities of drawing a dime on the first draw (2/8) and a dime on the second draw (1/7, since there is one less dime available). The correct probability is therefore (2/8) * (1/7) = 1/28.
