Question

What is the probability of getting a pair of numbers whose ratio is in simplest form in 2 dice thrown?

Answer 1

favourable outcomes= 6

total number of outcomes=36

probability= favourable outcomes/total outcomes

therefore probability of getting a pair of numbers whose ratio is in simplest form= 6/36= 1/6

Answer 2

Answer:

The probability is 23/36

Step-by-step explanation:

On throwing two dice, total number of possible outcomes is 6 × 6 = 36

Therefore, n(s) = 36

Now, find the pairs whose whose ratio is in simplest form.

Below are the pairs whose ratio is in simplest form in throwing 2 dice.

(1,3), (1,2), (1,3), (1,4), (1, 5), (1,6), ((2,1), (2,3), (2,5), (3,1), (3,2),(3,4), (3,5), (4,1), (4,3), (4,5), (5,1), (5,2), (5,3), (5,4), (5,6), (6,1), (6,5)

Therefore, total number of favorable outcomes is 23

Hence, n(E) = 23

Therefore, probability is given by

$P(E)=\frac{n(E)}{n(S)}\\\\P(E)=\frac{23}{36}$