Question

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

Answer 1

You roll a 6-sided die. The probability of getting prime is 50%.

Solution:

Given, that we have rolled a 6 – sided die.

We have to find the P(prime) as percentage.

Now, It means that we have to find the probability of getting a prime number on the face.

On rolling a six sided die, the total possible outcomes are 1, 2, 3, 4, 5, 6

Number of possible outcomes = 6

We have to get a prime number on rolling a die

The prime numbers in possible outcomes are 2, 3, 5

So number of favorable outcomes = 3

$\text {Probability of an event as percentage }=\frac{\text { favourable number of outcomes }}{\text { total number of outcomes }} \times 100$

$\text {Probability of getting prime number on face of die }=\frac{3}{6} \times 100$

$\begin{array}{l}{\text { P(prime) }=\frac{1}{2} \times 100} \\\\ {\text { P(prime) }=50 \%}\end{array}$

Hence, probability of getting prime is 50%.