Question
A month of the year is chosen at random. What is the probability that the month starts with the letter
or the letter
Ask by Byrd Greene. in the United States
Jan 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability is
.
Solution
To find the probability that a randomly chosen month starts with the letter
, we first need to identify the months that start with
.
The months of the year are:
- January
- February
- March
- April
- May
- June
- July
- August
- September
- October
- November
- December
The months that start with the letter
are:
- January
- June
- July
So, there are 3 months that start with
.
Next, we calculate the total number of months, which is 12.
The probability
that a randomly chosen month starts with the letter
is given by the formula:
Now, we simplify
:
Thus, the probability that the month starts with the letter
is
.
The correct answer is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
In a year, there are 12 months: January, February, March, April, May, June, July, August, September, October, November, and December. The months that start with the letter “J” are January and June, giving us a total of 2 months. Therefore, the probability of selecting a month that starts with “J” is
which simplifies to
.
The probability of selecting a month that starts with the letter “J” can be calculated easily with a simple ratio. Knowing that there are 2 months beginning with “J” out of a total of 12, you can simply divide the number of favorable outcomes (2) by the total number of outcomes (12). Just remember, probability is all about how likely something is to happen based on the options available!