Problem

1. For a symmetrical eight-sided die, what is the probability that it will take exactly two tries to roll a 6 ? a. 0.13 b. 0.10 c. 0.09 0.11

Solution

Step 1 :Let's consider two events:

Step 2 :1. Not rolling a 6 on the first try

Step 3 :2. Rolling a 6 on the second try

Step 4 :Since the die is symmetrical and has eight sides, the probability of rolling a 6 is \(\frac{1}{8}\), and the probability of not rolling a 6 is \(\frac{7}{8}\).

Step 5 :We need to multiply these probabilities to find the probability of both events happening:

Step 6 :\(\frac{7}{8} \times \frac{1}{8} = \frac{7}{64}\)

Step 7 :\(\boxed{0.109375}\) is the probability that it will take exactly two tries to roll a 6 on a symmetrical eight-sided die, which is closest to option b. 0.10.

From Solvely APP
Source: https://solvelyapp.com/problems/15783/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download