Two dice with face marked 1, 2, 3, 4, 5, 6 are thrown simultaneously and the points on the dice are multiplied together. the probability that product is 12 is:
Answers
When the two dice are thrown simultaneously we will have the following possible pairs.
1 and 1 , 2 and 1 , 3 and 1, 4 and 1 , 5 and 1, 6 and 1
1 and 2 , 2 and 2, 3 and 2,4 and 2, 5 and 2, 6 and 2
1 and 3 , 2 and 3, 3 and 3, 4 and 3, 5 and 3, 6 and 3
1 and 4 , 2 and 4, 3 and 4, 4 and 4, 5 and 4, 6 and 4
1 and 5 , 2 and 5, 3 and 5,4 and 5, 5 and 5, 6 and 5
1 and 6 , 2 and 6, 3 and 6, 4 and 6 , 5 and 6, 6 and 6
These are 36 possibilities.
Since we have two dice we will have 36 possible pairs.
We therefore have 36 possibilities.
The pair whose products can give 12 are:
3 and 4 or 6 and 2 or 4 and 3 or 2 and 6
This probability of getting a product of 12 for a pair is thus :
4/36 = 1/9
Answer:
The probability that the product is 12 when two dice are thrown is 1/9.
Step-by-step explanation:
Given: Two dice are thrown.
To find the probability that the product is 12.
When two dice are thrown there are total 36 outcomes.
Outcomes with product 12 are: (2,6),(6,2), (4,3),(3,4).
By the definition of probability we know that:
Probability= (Number of outcomes with product 12)/(Total number of outcomes)
Probability= 4/36
=1/9
Therefore, the probability that the product is 12 when two dice are thrown is 1/9.
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