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

Answer 1

A. There are two black cards with the value 2, the 2 of clubs and the 2 of spades. These two black two's are among 36 cards, the reason being that it is given that 16 cards are excluded from the calculation. The probability of drawing a black two is 2/36.
Does this make sense?

Answer 2

There are 4 cards with value 6 out of a possible 36 cards. The probability of drawing a 6 is 4/36.

Answer 3

For C, D and E the sample space has 36 possible combinations of numbers. These can be set out in column form as follows:
6,6 5,6 4,6 3,6 2,6 1,6
6,5 5,5 4,5 3,5 2,5 1,5
6,4 5,4 4,4 3,4 2,4 1,4
6,3 5,3 4,3 3,3 2,3 1,3
6,2 5,2 4,3 3,2 2,2 1,2
6,1 5,1 4,1 3,1 2,1 1,1

Answer 4

thankyou for the help. can you help me with one more question please

Answer 5

C has a probability of 6/36.
D has a probability of 2/36
E has a probability of 3/36.
Can you please post the other question as a new one so others can help if necessary?