Math Problem Statement
A quarter and a nickel are tossed. How many outcomes are possible?
Solution
When a quarter and a nickel are tossed, each coin has 2 possible outcomes: Heads (H) or Tails (T).
The total number of outcomes can be calculated by multiplying the outcomes of each coin:
The possible outcomes are:
- Quarter - Heads, Nickel - Heads (HH)
- Quarter - Heads, Nickel - Tails (HT)
- Quarter - Tails, Nickel - Heads (TH)
- Quarter - Tails, Nickel - Tails (TT)
So, the correct answer is 4.
Would you like more details or have any other questions?
Here are some related questions:
- What if three coins are tossed instead of two?
- How would the answer change if one of the coins were a die instead?
- What is the probability of getting at least one head in this case?
- How many outcomes are possible with three different coins?
- How many outcomes are possible if the coins are biased?
Tip: The total number of outcomes when tossing multiple independent coins is calculated by raising 2 to the power of the number of coins.
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Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Formulas
Total outcomes = 2^n, where n is the number of coins
Theorems
Fundamental principle of counting
Suitable Grade Level
Grades 6-8