Question

Two dice are thrown together. What is the probability that the number obtained on one of the dice is multiple of number obtained on the other dice?

Answer 1

Answer:

11 /36

Step-by-step explanation:

Because

• 1 ,2,3,4,5, 6 of 1
• 2, 4,6 of 2
• 3, 6, of 3

11/36

Answer 2

The probability that the number obtained on one of the dice is multiple of number obtained on the other dice is $\dfrac{7}{18}$.

Explanation:

If two dice are thrown together , the total number of outcomes = 36

The favorable outcomes for the number obtained on one of the dice is multiple of number obtained on the other dice :

(1,1) (2,1)  (3,1) (4,1) (5,1) (6,1)

(2,2) (4,2)  (6,2)

(3,3) , (4,4) , (5,5) (6,3) (6,6)

Number of favorable outcomes = 11

Now , the probability that the number obtained on one of the dice is multiple of number obtained on the other dice = $\dfrac{\text{No. of favorable outcomes}}{\text{Total outcomes}}$

$\dfrac{14}{36}=\dfrac{7}{18}$

Hence, the probability that the number obtained on one of the dice is multiple of number obtained on the other dice is $\dfrac{7}{18}$.

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