SOLUTION: What is the probability of drawing a BLACK card OR a card with a LETTER? A. 21/26 B. 4/12 C. 17/26 D. 1/2 The image for the question and the answer choices are i

Question 1160683: What is the probability of drawing a BLACK card OR a card with a LETTER?

A. 21/26
B. 4/12
C. 17/26
D. 1/2

The image for the question and the answer choices are in the link here: https://i.imgur.com/5NFjKNS.png
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i think selection C.
p(black card) = p(spades) OR p(clubs) = p(spades) + p(club) = 26/52
p(letter card) = p(ace OR king OR queen OR jack) = p(ace) + p(king) + p(queen) + p(jack) = 16/52.
p(black card AND letter card = p({ace,king,queen,jack of spades) + p(ace,king,queen,jack of clubs}) = 8/52
p(black card OR letter card) = p(black card) + p(letter card) - p(black card AND letter card) = 26/52 + 16/52 - 8/52 = 34/52 = 17/26.

RELATED QUESTIONS
Need help: One card is selected from a deck of cards. Find the probability of selecting... (answered by Alan3354)

One card is selected at random from a deck of cards. Determine the probability that the... (answered by edjones)

Which of the following is the probability of drawing a black card or a face card from a... (answered by fractalier)

If you draw a card from a 52 card deck what is the probability of drawing a jack of... (answered by solver91311)

What is the probability of drawing a face card or a black... (answered by solver91311)

One card is selected from a deck of standard poker cards at random. Assume a typical... (answered by checkley75)

What is the probability of drawing a black card or a card with a number less than... (answered by fractalier)

card is drawn at random from a well-shuffled deck of 52 cards. What is the probability... (answered by solver91311)

You draw a two-card hand from a standard deck of 52 cards. What is the probability of... (answered by MathLover1)