a month of the year is chosen at random. what is the probability that the month starts with the letter j or the letter m?
Answer:
\(\frac{5}{12}\)
Step-by-step explanation:
There are three months whose name starts with the letter 'j': January, June, July
There are two months whose name starts with the letter 'm': March, May
So altogether, there are 5 months whose name starts with the letter 'j' or 'm'. So the possible outcome is 5 and total number of sample space is 12.
Therefore the required probability is:
\(\frac{5}{12}\)
The probability that the month starts with the letter j or the letter m is 5/12.
Given
A month of the year is chosen at random.
The quality or state of being probable; the extent to which something is likely to happen or be the case:
Total number of months in a year = 12
Total number of months which starts with letter J = 3
January, June, July
There are two months whose name starts with the letter 'm': March, May
Therefore,
The probability that the month starts with the letter j or the letter m is;
\(\rm Probability = \dfrac{Month \ start \ with J + Month \ start \ with M}{Total \ number \ of \ months \ in \ a \ year}\\\\Probability = \dfrac{3+2}{12}\\\\Probability =\dfrac{5}{12}\)
Hence, the probability that the month starts with the letter j or the letter m is 5/12.
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