Multiple choice

Consider the example of finding the probability of selecting a black card or a $6$ from a deck of $52$ cards.

  1. $\dfrac{8}{13}$
  2. $\dfrac{7}{13}$
  3. $\dfrac{6}{13}$

  4. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total cards = 52. Black cards = 26. Sixes = 4. One six is black (6 of spades, 6 of clubs), so there are 26 + 4 - 2 = 28 unique cards. Probability = 28/52 = 7/13.

AI explanation

A standard deck has 52 cards, including 26 black cards and 4 sixes. Using the addition rule of probability for mutually inclusive events, we add the probabilities of drawing a black card and a six, then subtract the overlap of the two black sixes. The calculation is (26 + 4 - 2) divided by 52, which equals 28 divided by 52. This fraction simplifies to 7 divided by 13.

Keep practicing — related questions