## andijo76 3 years ago Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). A. rolling a sum of 4 on two fair six sided dice B. drawing a black seven out of a standard 52 card deck given it’s not a face card or an Ace. C. rolling a sum of 11 on two fair six sided dice D. rolling a sum of 7 on two fair six sided dice E. drawing a three out of a standard 52 card deck given it’s not a face card or an Ace.

1. satellite73

guess we have to find them all right?

2. satellite73

A: 3 out of 36 possibilities so $\frac{3}{36}=\frac{1}{12}$

3. andijo76

lol yes haha

4. satellite73

B is worded funny, but i guess we are supposed to think it means you know it is not a face card or an ace, so there are 12 face cards, 4 aces for a total of 16 and therefore out deck has 36 cards, 4 sevens so $\frac{4}{36}=\frac{1}{9}$ for B

5. satellite73

eleven has 2 possibilities out of 36 so $\frac{2}{36}=\frac{1}{18}$ no matches yet!

6. satellite73

probability you roll a seven on a pair of dice is $\frac{1}{6}$ so it is up to the last one

7. satellite73

ok i made a mistake. B says "black 7" not 7 so it should be $\frac{2}{36}=\frac{1}{18}$

8. satellite73

so B and C are the same. now lets try E again 36 cards left in the deck, and 4 are threes so this time it is $\frac{4}{36}=\frac{1}{9}$ i will let you find the matches