Question

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.

Answer 1

guess we have to find them all right?

Answer 2

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

Answer 3

lol yes haha

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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