You roll a 6-sided die. The probability of getting prime is 50%.
<u>Solution:</u>
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](https://tex.z-dn.net/?f=%5Ctext%20%7BProbability%20of%20an%20event%20as%20percentage%20%7D%3D%5Cfrac%7B%5Ctext%20%7B%20favourable%20number%20of%20outcomes%20%7D%7D%7B%5Ctext%20%7B%20total%20number%20of%20outcomes%20%7D%7D%20%5Ctimes%20100)
![\text {Probability of getting prime number on face of die }=\frac{3}{6} \times 100](https://tex.z-dn.net/?f=%5Ctext%20%7BProbability%20of%20getting%20prime%20number%20on%20face%20of%20die%20%7D%3D%5Cfrac%7B3%7D%7B6%7D%20%5Ctimes%20100)
![\begin{array}{l}{\text { P(prime) }=\frac{1}{2} \times 100} \\\\ {\text { P(prime) }=50 \%}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20P%28prime%29%20%7D%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%20%7B%5Ctext%20%7B%20P%28prime%29%20%7D%3D50%20%5C%25%7D%5Cend%7Barray%7D)
Hence, probability of getting prime is 50%.