Two dice are thrown together find the probability that the product of the number on the dice is 12

Number of total outcomes = 36

When product of the numbers on the top of the dice is 12.

So, the possible ways are (2, 6), (3, 4), (4, 3) and (6, 2).

Number of possible ways = 4

∴ Required probability = `4/36 = 1/9`

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Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 7

Number of total outcomes = 36

Product of the numbers on the top of the dice cannot be 7.

So, its probability is zero.

Concept: Probability - A Theoretical Approach

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Number of absolute results = 36

(I) When result of the numbers on the highest point of the dice = 6.

The potential results = (1, 6), (2,3), (3, 2), (6, 1).

Subsequently, number of conceivable ways = 4

∴ Probability that the result of the numbers on the highest point of the dice is 6= 4/36 = 1/9

(ii) When result of the numbers on the highest point of the dice = 12.

The conceivable ways are (2, 6), (3,4), (4, 3), (6, 2).

Subsequently, number of conceivable ways = 4

∴ Probability that the result of the numbers on the highest point of the dice is 12= 4/36 = 1/9

(iii) Product of the numbers on the highest point of the dice can’t be 7.

Subsequently, the likelihood is zero.

∴ Probability that the result of the numbers on the highest point of the dice is 7 = 0

Text Solution

Solution : Number of total outcomes=36 <br> (ii) When product of the number on the top of the dice is 6. <br> So, the possible ways are (1,6),(2,3),(3,2) and (6,1) <br> Number of possible ways=4 <br> `therefore` Required probability =`(4)/(36)=(1)/(9)` <br> When product of hte number on the top of the dice is 12. <br> So, the possible wys are (2,6), (3,4),(4,3) and (6,2) <br> Number of possible ways=4 <br> `therefore` Required probability =`(4)/(36)=(1)/(9)` <br> (iii) Product of the number on the top of the dice cannot be 7. So, its probability is zero.

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Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 6