Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

10. Combinatorics & Probability

Probability

College Algebra

10. Combinatorics & Probability

Probability

Previous problemNext problem

Struggling with College Algebra?

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

A card is drawn from a standard deck of 52 cards. What is the probability that the card is a diamond or a king?

0.33

0.31

0.15

0.85

Previous problemNext problem

Verified step by step guidance

First, identify the total number of possible outcomes. In a standard deck of 52 cards, there are 52 possible outcomes when drawing one card.

Next, determine the number of favorable outcomes for drawing a diamond. There are 13 diamonds in a deck.

Determine the number of favorable outcomes for drawing a king. There are 4 kings in a deck.

Since one of the kings is also a diamond, we must adjust for double-counting. Subtract 1 from the total number of favorable outcomes to account for the king of diamonds being counted twice.

Finally, calculate the probability by adding the number of favorable outcomes for diamonds and kings, subtracting the overlap, and then dividing by the total number of cards: \( P(\text{diamond or king}) = \frac{13 + 4 - 1}{52} \).

5:37m