Question

2. Each letter from the word "MASSACHUSSETT " is written on a separate 20 points

piece of paper and put in a bag. What is the probability of selecting the
letter S, as a fraction in lowest terms ? *
1 out of 2
4 out of 11
0 4 out of 13
1 out of 3

Answer 1

Answer: 4 out of 13

Explanation:

Total letters in "MASSACHUSSETT " = 13

Number of S = 4

Probability of an event =
`\frac{\text{Favorable outcomes}}{\text{Total outcomes}}`

The probability of selecting the letter S =
`\frac4{13}` [already in lowest term as gcd(4,13)=1]

Hence, the probability of selecting the letter S = 4 out of 13.