SOLUTION: * Show your complete solution * Explain your answer after the solution 2. If a card is drawn from a deck of 52 playing cards, then what is the probability of getting a. an ace o

Question 1189345: * Show your complete solution
* Explain your answer after the solution
2. If a card is drawn from a deck of 52 playing cards, then what is the probability of getting
a. an ace or jack
b. a red card or a black card
c. a number below 5 or a black card
d. a spade or a diamond
e. a red card or a face card
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
there are 4 aces and 4 jacks, and each is unique, so this would be 8/52 or 2/13.
-
Red card or a black card is 100%. There are no other types.
-
number below 5 is 4/3/2 (will exclude an ace), which are 12 cards.
Black cards are 26.
But we have to subtract the double counted black cards that are below 5, and there are 6 of them.
So the probability is (12+26-6)/52=32/52 or 8/13.
-
Spade or a diamond are 2 of the 4 suits so 50%.
-
Red card or face card is (26+12-6)/52 since there are 26 red cards, 12 face cards, and half the face cards are red. This is also 32/52 or 8/13.
RELATED QUESTIONS
Two cards are drawn without replacement from a standard deck of 52 playing cards. What (answered by Glaviolette)

Please show steps of how to solve the question. You are playing a game of chance in... (answered by Theo,math_tutor2020)

Two cards are drawn in succession without replacement from a standard deck of 52 playing... (answered by drj,Edwin McCravy)

Studying for a math quiz, so wrote down a problem from the text for reference. Can... (answered by lynnlo)

Ibram is playing a game of chance in which four cards are drawn from a standard deck of... (answered by ikleyn)

A card is drawn from a standard deck of 52 playing cards. What is the probability of... (answered by tommyt3rd)

A card is drawn from a standard deck of 52 playing cards. what is the probability that... (answered by Edwin McCravy)

Five cards are down in succession from a deck of 52 playing cards and after each card is... (answered by nerdybill)

three cards are drawn without replacement from a well shuffled deck of 52 playing cards... (answered by ewatrrr)