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. drawing a red five out of a standard 52 card deck given it’s not a face card or an Ace.
B. rolling a sum of 10 on two fair six sided dice
C. rolling a sum of 3 on two fair six sided dice
D. rolling a sum of 7 on two fair six sided dice
E. drawing a four out of a standard 52 card deck given it’s not a face card or an Ace.

Answer 1

1/18
4/36
2/36
7/36
1/36

Answer 2

D is 6/36 sorry

Answer 3

i have seen this problem several times and it is weird
where does it come from?

Answer 4

middle earth

Answer 5

middle age maybe

Answer 6

i think the first and third are both \(\frac{2}{36}\)
there are 16 cards that excluded from the first example, leaving 2 red 5s out of a total of 36 cards
there are two ways to roll a 3 (2,1) and (1,2) out of a total of 36 possibilities for rolling two dice, so both are \(\frac{2}{36}\)

Answer 7

Yes

Answer 8

came from an online mathematics course