What is the probability of rolling a 4 on a standard die?
$\frac{1}{2}$
$\frac{2}{3}$
$\frac{1}{6}$
$\frac{1}{4}$
Answer (2)
The probability of rolling a 4 on a standard die is 6 1 because there is one favorable outcome (rolling a 4) out of six possible outcomes. Thus, the correct option is 6 1 .
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A standard die has 6 equally likely outcomes.
The probability of rolling a 4 is the number of ways to roll a 4 divided by the total number of outcomes.
P ( 4 ) = 6 1
The probability of rolling a 4 on a standard die is 6 1 .
Explanation
Understand the problem A standard die has 6 faces, numbered 1 to 6. Each face has an equal probability of being rolled. We want to find the probability of rolling a 4.
Define probability The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is rolling a 4, and the total number of possible outcomes is the number of faces on the die.
Calculate the probability There is only one way to roll a 4 on a standard die. The total number of possible outcomes is 6 (since there are 6 faces on the die). Therefore, the probability of rolling a 4 is: P ( 4 ) = Total number of outcomes Number of ways to roll a 4 = 6 1
State the final answer The probability of rolling a 4 on a standard die is 6 1 .
Examples
Imagine you're playing a board game that requires you to roll a specific number to advance. Knowing the probability of rolling that number helps you understand your chances of moving forward on each turn. For example, if you need to roll a 4 to start the game, you know you have a 6 1 chance on each roll.
