You roll a fair die six times. What is the probability that you roll all 5's? A) 1 B) 0.167 C) 1.2 D) 0.833 E) 0.00002

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**Problem: Probability of Rolling All 5's with a Fair Die**

You roll a fair die six times. What is the probability that you roll all 5's?

A) 1  
B) 0.167  
C) 1.2  
D) 0.833  
E) 0.00002  

**Explanation:**  
The question asks for the probability of rolling a 5 on each of the six rolls of a fair six-sided die. Since there are six sides, the probability of rolling a 5 on one roll is 1/6. Since each roll is independent, the probability of rolling a 5 six times in a row is (1/6)^6, which is approximately 0.00002143. Therefore, the closest option is E) 0.00002.
Transcribed Image Text:**Problem: Probability of Rolling All 5's with a Fair Die** You roll a fair die six times. What is the probability that you roll all 5's? A) 1 B) 0.167 C) 1.2 D) 0.833 E) 0.00002 **Explanation:** The question asks for the probability of rolling a 5 on each of the six rolls of a fair six-sided die. Since there are six sides, the probability of rolling a 5 on one roll is 1/6. Since each roll is independent, the probability of rolling a 5 six times in a row is (1/6)^6, which is approximately 0.00002143. Therefore, the closest option is E) 0.00002.
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-Roll a fair die six times

-probability that you roll 5's=?

 

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