What is the probability of rolling a four on the first die and a five on the second die? Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator. _____

Calculate Probability of Four: Step 1: Determine the probability of rolling a four on a single six-sided die. Each die has six faces, numbered from 1 to 6. The probability of rolling a specific number, like four, is 1 out of 6. Calculation: Probability = 1/6 Calculate Probability of Five: Step 2: Determine the probability of rolling a five on the second six-sided die. Similar to the first die, each face has an equal chance of landing, so the probability of rolling a five is also 1 out of 6. Calculation: Probability = 1/6 Multiply Probabilities for Combined Probability: Step 3: Since the rolls are independent, multiply the probabilities from Step 1 and Step 2 to find the combined probability of both events happening. Calculation: Combined Probability = (1/6) * (1/6) = 1/36

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What is the probability of rolling a four on the first die and a five on the second die? $\newline$ Write your answer as a fractions" target="_blank" class="backlink">fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator. $\newline$ _____

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Grade 7

Probability of compound events

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Q. What is the probability of rolling a four on the first die and a five on the second die?

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Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

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_____

Calculate Probability of Four: Step $1$ : Determine the probability of rolling a four on a single six-sided die. $\newline$ Each die has six faces, numbered from $1$ to $6$ . The probability of rolling a specific number, like four, is $1$ out of $6$ . $\newline$ Calculation: Probability = $\frac{1}{6}$
Calculate Probability of Five: Step $2$ : Determine the probability of rolling a five on the second six-sided die. Similar to the first die, each face has an equal chance of landing, so the probability of rolling a five is also $1$ out of $6$ . Calculation: Probability = $\frac{1}{6}$
Multiply Probabilities for Combined Probability: Step $3$ : Since the rolls are independent, multiply the probabilities from Step $1$ and Step $2$ to find the combined probability of both events happening. $\newline$ Calculation: Combined Probability = $(\frac{1}{6}) \times (\frac{1}{6}) = \frac{1}{36}$