A card is drawn from a standard deck of 52 cards. What is the probability that the card is a diamond or a king?
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
10. Combinatorics & Probability
Probability
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In your coin purse, you have 3 quarters, 4 nickels, & 2 dimes. If you pick a coin at random, what is the probability that it will be a quarter?
A
0.33
B
0.44
C
0.50
D
0.66

1
Step 1: Begin by identifying the total number of coins in the purse. You have 3 quarters, 4 nickels, and 2 dimes. Add these together to find the total number of coins: 3 + 4 + 2.
Step 2: Calculate the total number of coins. The sum from Step 1 gives you the total number of coins in the purse.
Step 3: Determine the number of quarters in the purse. You have 3 quarters.
Step 4: To find the probability of picking a quarter, divide the number of quarters by the total number of coins. Use the formula for probability: \( P( ext{quarter}) = \frac{ ext{number of quarters}}{ ext{total number of coins}} \).
Step 5: Simplify the fraction obtained in Step 4 to find the probability in decimal form. This will give you the probability that a randomly picked coin is a quarter.
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