Math Problem Statement
A coin is flipped and a die is rolled. What is the probability of getting heads and rolling a 5?
Solution
To find the probability of getting heads on the coin flip and rolling a 5 on the die, we can follow these steps:
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Coin Flip: The probability of getting heads when flipping a coin is:
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Die Roll: The probability of rolling a 5 on a six-sided die is:
Since the coin flip and die roll are independent events, the probability of both events happening together is the product of their individual probabilities:
Thus, the probability of getting heads and rolling a 5 is .
Do you want more details or have any questions?
Here are 5 related questions:
- What is the probability of getting tails and rolling a 3?
- What is the probability of flipping heads and rolling an even number?
- How many possible outcomes are there when flipping a coin and rolling a die?
- If you flip two coins and roll one die, what is the probability of getting two heads and rolling a 6?
- What is the probability of getting heads and rolling a number less than 4?
Tip: When dealing with independent events, the probability of both occurring is the product of their individual probabilities.
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Math Problem Analysis
Mathematical Concepts
Probability
Independent Events
Formulas
P(A and B) = P(A) * P(B)
P(Heads) = 1/2
P(Rolling a 5) = 1/6
Theorems
Multiplication Rule for Independent Events
Suitable Grade Level
Grades 6-8
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