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a single six - sided die is rolled. find the probability of rolling a s…

Question

a single six - sided die is rolled. find the probability of rolling a seven.
a. 0
b. 0.5
c. 1
d. 0.1

Explanation:

Step1: Identify sample space

A six - sided die has values 1, 2, 3, 4, 5, 6. So the sample space $n(S)=6$.

Step2: Identify favorable outcomes

There are no 7s in the sample space of a six - sided die, so $n(E)=0$.

Step3: Calculate probability

The probability formula is $P(E)=\frac{n(E)}{n(S)}$. Substituting $n(E) = 0$ and $n(S)=6$, we get $P(E)=\frac{0}{6}=0$.

Answer:

A. 0