You roll a 6-sided die. What is P(odd)? Write your answer as a percentage. _____%

Identify total possible outcomes: Identify the total number of possible outcomes when rolling a 6-sided die. A 6-sided die has 6 faces, each with a different number from 1 to 6. Therefore, there are 6 possible outcomes when the die is rolled.Determine favorable outcomes: Determine the number of favorable outcomes for rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. There are 3 odd numbers, so there are 3 favorable outcomes for this event.Calculate probability of odd number: Calculate the probability of rolling an odd number. The probability (P) of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. P(odd) = Number of favorable outcomes / Total number of possible outcomes P(odd) = 3 / 6Simplify fraction for probability: Simplify the fraction to get the probability in its simplest form. 3 / 6 simplifies to 1 / 2, since both the numerator and the denominator can be divided by 3.Convert probability to percentage: Convert the probability to a percentage. To convert a fraction to a percentage, we multiply it by 100. P(odd) as a percentage = (1 / 2) * 100% P(odd) as a percentage = 50%

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You roll a $6$ -sided die. $\newline$ What is $P(\text{odd})$ ? $\newline$ Write your answer as a percentage. $\newline$ $\_\_\_\_\%$

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Math Problems

Grade 6

Probability of simple events and opposite events

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Q. You roll a

6

-sided die.

\newline

What is

P(\text{odd})

\newline

Write your answer as a percentage.

\newline

\_\_\_\_\%

Identify total possible outcomes: Identify the total number of possible outcomes when rolling a $6$ -sided die. $\newline$ A $6$ -sided die has $6$ faces, each with a different number from $1$ to $6$ . Therefore, there are $6$ possible outcomes when the die is rolled.
Determine favorable outcomes: Determine the number of favorable outcomes for rolling an odd number. $\newline$ The odd numbers on a $6$ -sided die are $1$ , $3$ , and $5$ . There are $3$ odd numbers, so there are $3$ favorable outcomes for this event.
Calculate probability of odd number: Calculate the probability of rolling an odd number. The probability $P$ of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. $P(\text{odd}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ $P(\text{odd}) = \frac{3}{6}$
Simplify fraction for probability: Simplify the fraction to get the probability in its simplest form. $\frac{3}{6}$ simplifies to $\frac{1}{2}$ , since both the numerator and the denominator can be divided by $3$ .
Convert probability to percentage: Convert the probability to a percentage. $\newline$ To convert a fraction to a percentage, we multiply it by $100$ . $\newline$ $P(\text{odd})$ as a percentage = $(1 / 2) \times 100\%$ $\newline$ $P(\text{odd})$ as a percentage = $50\%$