Question 567840: Oops. I posted this with the wrong email address. Can someone please help.
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 52 face cards and four Aces (Aces are not face cards).
A. rolling a sum of 7 on two fair six sided dice
B. drawing a spade out of a standard 52 card deck
C. drawing a queen out of a standard 52 card deck given it’s a face card.
D. drawing a red card out of a standard 52 card deck
E. rolling a 4, 5 or 6 on one fair six sided die
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! drawing a sum of 7 on 2 fair 6 sides dice looks like the probability is equal to 1/6.
there are 6 pairs that can have the sum of 7 out of 36 pairs total. that simplifies to 1/6.
the pairS are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).
drawing a spade is 13/52 which can be reduced to 1/4.
there are 4 suits in the deck and each of them has 13 cards (12 face plus an ace).
drawing a queen given it's a face card is 4/48 which reduces to 1/12.
4 suits = 52 minus 4 aces = 48.
there are 4 queens in the deck.
drawing a red card is 26/52 which reduces to 1/2.
2 suits are red and 2 suits are black.
rolling a 4, 5, or 6 on 1 fair sided dice is 3/6 which reduces to 1/2.
1 fair die can be 1, 2, 3, 4, 5, or 6.
looks like it's the last 2 that have the same probability.
|
|
|
