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

(i) 6
(ii) 12
(iii) 7
 

Answers (1)

(i) Answer. [1/9]
Solution. Probability ; probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total cases = 36
For getting product 6 = (1, 6,), (6, 1), (2, 3), (3, 2)
Cases = 4
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting product 6 =\frac{4}{36}= \frac{1}{9}

(ii) Answer. [1/9]
Solution. Probability ; probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total cases = 36
product 12 = (2, 6), (6, 2), (3, 4), (4, 3)
Cases = 4

Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting product 12 =\frac{4}{36}= \frac{1}{9}

(iii) Answer. [0]
Solution. Probability ; probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total cases = 36
Product 7 = 0 (case)
Cases = 0
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting product 7 =\frac{0}{36}= 0

 



 

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