A fair 6-sided die is rolled 300 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?

150
50
175
100

Respuesta :

Answer:

150 times

Step-by-step explanation:

First, let us consider the odd number on a fair 6-sided dice.

These are: 1, 3, 5

This means out of the 6 possible numbers, we have the probability of getting 3 of these numbers.

We can write this as  [tex]\frac{3}{6}[/tex] , which simplifies to  [tex]\frac{1}{2}[/tex] .

Therefore to predict the number of times it will land on odd we have to use this general formula:

[tex]Predicted\ Outcome = Number \ of\ trials\ \times\ Probability\ of\ desired\ outcome[/tex]

Therefore:

[tex]Predicted \ Outcome = 300\ rolls\ \times\ \frac{1}{2} \\\therefore\ Predicted\ Outcome = 150\ times[/tex]

Hope this helps!!!