Question

You roll a 6-sided die. What is P(prime)? Write your answer as a percentage.

Answer 1

$\huge \underline\text {Hello There!!}$

Given

Rolled A six-sided dice.

To Find

P(Prime) as percentage

Solution

Total Possible Outcomes= 1, 2, 3, 4, 5, 6.

So, No. of possible Outcomes= 6

Prime number of the dice= 2, 3, 5

So, No. of favorable outcomes of Prime number= 3

We Know,

$\text{Probability of an event= }$

$\frac{ \text{favorable no. of outcome}}{ \text{total no. of outcome}} \times 100$

$\text{Percentage of Probability getting P(Prime) number on face of dice} =$

$\frac{3}{6} \times 100 \\ \\ = \cancel \frac{3}{6} \times 100 \\ \\ = \frac{1}{ \cancel2} \times \cancel{100} \\ \\ = 50\%$

$\therefore \% \text{ Probability of getting prime number is \red{50} \red\%}$

Hope This Helps