Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
2. Section 12.2
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Exercise 106 Page 686

Divide the number of the remaining aces by the number of remaining cards.

a

Practice makes perfect
Dillon randomly selects cards from a deck of 52 cards. So far he selected 3 of clubs, ace of spades, a 4 of clubs, and a 10 of diamonds. We have 1 ace among the 4 selected cards. Since in a full deck of 52 cards there are 4 aces, there are 4 - 1 = 3 aces within the remaining 52- 4 = 48 cards. Remaining Aces: & & & 4 - 1 = 3 Remaining Cards: & & & 52- 4 = 48

The ratio of remaining aces to remaining cards gives us the probability that the next card will be an ace. Remaining Aces/Remaining Cards = 3/48 Finally, let's simplify this ratio. Notice that both the numerator and the denominator are divisible by 3 — let's divide both of them by 3. .3 /3./.48 /3. = 1/16 Therefore, answer a is correct.