Question

Suppose we have a loaded die that gives the outcomes 1 through 6 according to the following probability distribution. Die outcome 1 2 3 4 5 6 Probability 0.1 0.2 0.3 0.2 ? 0.1 Find the probability of rolling a 5.

Answer 1

a on edge

Explanation:

Answer 2

0.1 or 10%

Explanation:

`\begin{array}{cc}outcome&probability\\1&0.1\\2&0.2\\3&0.3\\4&0.2\\5&x\\6&0.1\end{array}`

The sum of the probabilities of all possible outcomes must equal 1. Therefore, the probability of rolling a five, which is the only unknown probability, can be determined as:

`0.1+0.2+0.3+0.2+x+0.1 = 1\\x=0.1`

The probability of rolling a 5 is 0.1 or 10%.