What is the probability of getting a product of 72 from three throws of a dice?

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20 Dec 2017 Probability

What is the probability of getting a product of 72 from three throws of a dice?

OPtion

1) 8/216
2) 6/216
3) 10/216
4) 12/216
5) 15/216
6) 16/216
7) 1/23
8) 1/25
9) 1/27
10)None of these

Solution

Total Number of possible outcomes = 6C1*6C1*6C1 = 6*6*6 = 216
Positive outcomes must satisfy D1*D2*D3= 36
Below are such values of D1, D2 and D3:
2, 6, 6
3, 6, 4
3, 4, 6
4, 6, 3
4, 3, 6
6, 6, 2
6, 4, 3
6, 3, 4
6, 2, 6



Count of positive outcome = 9
Probability = Positive outcome/Total Possible Outcomes = 9/216 = 1/24
Option 10)

Correct Option: 10 Best Solution (7)

Rajaboina Rajababu   7 years AGO

Total no of possible outcomes=6c1*6c1*6c1=6*6*6=216
positive outcomes must satisfy d1*d2*d3=72
below are such values of d1,d2 and d3
2,6,6
6,2,6
6,6,2
3,4,6
3,6,4
4,3,6
4,6,3
6,3,4
6,4,3
total no of positive outcomes=9
probability to get product of 72 from 3 thows of dice is=no.of positive outcomes/total no.of outcomes=9/216=1/24
hence ans is option 10

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Rajaboina Radhika   7 years AGO

Total no of possible outcomes =6c1*6c1*6c1=6*6*6=216
positive outcomes must satisfy D1*D2*D3=72
Below are such values of D1,D2 and D3
2,6,6
6,2,6
6,6,2
3,4,6
3,6,4
4,3,6
4,6,3
6,3,4
6,4,3
count of positive outcomes=9
probability=no.of positive outcomes/total no.of outcomes=9/216=1/24
hence ans is option 10

Like? Yes (3) | No (2)  

Dimple   7 years AGO

Total possible combinations are 6x6x6=216
Favourable combinations are
6,6,2... 3 arrangements
3,4,6.... 6 arrangements

total 9 arrangements
Hence probability of getting product 72 from 3 dice= 9/216= 1/24

Like? Yes (2) | No (1)  

SAYAN CHATTERJEE   7 years AGO

Possible combinations are 2,6,6
3,4,6
3,6,4
4,3,6
4,6,3
6,2,6
6,3,4
6,4,3
6,6,2
So, probability is 9/216 = 1/24.
Option 10.

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Dipu Kumar   7 years AGO

Total No. of events = 6*6*6=216
No. of favourable Condition= 9 {(6,6,2), (6,2,6), (2,6,6), (6,4,3), (6,3,4), (3,6,4), (3,4,6), (4,3,6), (4,6,3)}
Required Probability = 9/216=1/24

Like? Yes | No (2)  

G.S.Kantharao   7 years AGO

No of out comes=216
Required combinations=
(2,6,6),(3,4,6),(3,6,4),(4,3,6),(4,6,3),(6,2,6),(6,3,4),(6,4,3)(6,6,2)=9
Probability =9/216=1/24
Hence my option is 10👈

Like? Yes (2) | No (4)  

ARINJOY GHOSH   7 years AGO

72=2*6*6=3*4*6=3*6*4=4*3*6=4*6*3=6*2*6=6*6*2
total favourable combination=7
total combination=6^3=216
probability=7/216

Like? Yes | No (3)