section 5.3 homework score: 3/13 answered: 3/11 question 4 a dice is rolled 3 times. what is the probability…

Explanation:

Step1: Determine probability of getting 5 on one roll

The probability of getting a 5 on a single roll of a fair six - sided die is $\frac{1}{6}$.

Step2: Use multiplication rule for independent events

Since the rolls are independent events, the probability of getting a 5 on each of the 3 rolls is $\left(\frac{1}{6}\right)\times\left(\frac{1}{6}\right)\times\left(\frac{1}{6}\right)=\frac{1}{216}$.

Step3: Convert to decimal and round

$\frac{1}{216}\approx0.0046$ (rounded to 4 decimal places)

Answer:

$0.0046$