Question

When a die is thrown, what is the probability that the number is greater than 1, given that it is odd?
a) 1/5
b) 3/5
c) 4/5
d) 2/5

Answer 1

Answer on Question #51599 – Math – Statistics and Probability

Question

When a die is thrown, what is the probability that the number is greater than 1, given that it is odd?

a) 1/5

b) 3/5

c) 4/5

d) 2/5

Solution

There are 6 possible results of the experiment: {1, 2, 3, 4, 5, 6}. Let $X$ be the number. The result is a success, if we will get 3 or 5. So, using the conditional probability obtain

$$P \left(X > 1 \mid X - o d d\right) = \frac {P \left(X > 1 , X - o d d\right)}{P \left(X - o d d\right)} = \frac {2 6}{6 3} = \frac {2}{3}.$$

Answer

All of the proposed answers are not correct. The right answer is $\frac{2}{3}$.

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