Question

a fair die is tossed four times. Find the probability of obtaining each of the following. 5 on all four tosses

Answer 1

Answer:

$\dfrac{1}{1296}$

Step-by-step explanation:

When a fair die is tossed once, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.

The probability of rolling 5 is $\dfrac{1}{6}.$

When a fair die is tossed four times, the probability of rolling 5 all four times is

$\dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}=\dfrac{1}{6^4}= \dfrac{1}{1296}$