Question 1195691: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a spade or 10? (Your answer must be in the form of a reduced fraction.)
P
(spade or 10) =
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
There are 13 spades and 4 cards labeled "10"
There appears to be 13+4 = 17 such cards combined.
But we must subtract off the 1 card that's a ten of spades, since it was double-counted when adding 13 to 4.
We really have 13+4-1 = 16 cards that are either a spade, a ten, or both.
Put another way: we have 13 spades, then 3 other cards (10 of clubs, diamonds and hearts) to get 16 such cards total.
Divide this value over 52 and reduce
16/52 = (4*4)/(4*13) = 4/13
|
|
|
