Question
Suppose you are rolling a standard 6 sided number cube. Choose the outcome
that is most likely.
Rolling a number divisible by 3 .
Rolling a number bigger than 5 .
Both outcomes above are equally likely.
that is most likely.
Rolling a number divisible by 3 .
Rolling a number bigger than 5 .
Both outcomes above are equally likely.
Ask by Best Hills. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Rolling a number divisible by 3 is more likely.
Solution
-
Identify outcomes for each event:
- Rolling a number divisible by 3 yields outcomes:
and . - Rolling a number bigger than 5 yields outcome:
.
- Rolling a number divisible by 3 yields outcomes:
-
Calculate probabilities:
- Total outcomes for a 6-sided cube:
. - Probability of a number divisible by 3:
- Probability of a number bigger than 5:
- Total outcomes for a 6-sided cube:
-
Compare probabilities:
- Since
, rolling a number divisible by 3 is more likely.
- Since
Answer: Rolling a number divisible by 3.
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Simplify this solution Bonus Knowledge
When rolling a standard 6-sided number cube (or die), the numbers you can roll are 1, 2, 3, 4, 5, and 6. The numbers divisible by 3 are 3 and 6, giving us 2 successful outcomes. On the other hand, the only number bigger than 5 is 6, which means there’s just 1 successful outcome. Therefore, rolling a number divisible by 3 is the most likely outcome!
If we think about probability, it helps to visualize outcomes with real-world scenarios. For instance, imagine you’re rolling the die to decide on toppings for a pizza night. Numbers 3 and 6 (which correspond to more meat options) might have more fans among your friends than the single option of 6 (just a plain cheese). So, looking at your pizza night planning, you’ll definitely want to lean towards those deliciously divisible toppings!
