Answer: It's more likely it's a Tuesday
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Explanation:
The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.
The odds of it being January is 1/12 because we have 1 month we want out of 12 total.
Now the question is: which fraction is larger?
For now, assume they are equal. We'll cross multiply like so
1/7 = 1/12
1*12 = 7*1
12 = 7
We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps
1/7 > 1/12
1*12 > 7*1
12 > 7
which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.
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Alternatively, you can use your calculator to find that:
- 1/7 = 0.143 approximately
- 1/12 = 0.083 approximately
Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.
