- #1
shawnz1102
- 26
- 0
Hi everyone, I have trouble depicting the difference between these two problems. The first problem uses the multiplication rule to solve while the second problem uses the counting rules (combination) to solve. To me, it seems like both problems could be solved using the multiplication rule so I don't understand why the second problem is solved using combination...
If I reword the second problem, I could reword it as the following:
Wouldn't this make it the exact same as problem #1, meaning I could solve #2 the same way I solved #1?
1.) Three cards are drawn from an ordinary deck and not replaced. Find the probability of these: a) getting 3 jacks.
Solution: P(3 jacks) = 4/52 * 3/51 * 2/50 = 1/5525
2.) Find the probability of getting 4 aces when 5 cards are drawn from an ordinary deck of cards.
Solution: P(4 aces) = 4C4 * 48 / 52C5 = 1*48/2,598,960 = 1/54,145
If I reword the second problem, I could reword it as the following:
Five cards are drawn from an ordinary deck. Find the probability of these: a) getting 4 aces.
Wouldn't this make it the exact same as problem #1, meaning I could solve #2 the same way I solved #1?