Two different dice tossed together . find the probability that the product of the two numbers on the top of the dice is 6
Answers
Answer:
1/18
Step-by-step explanation:
we know that
probability = total number of favourable outcome/total number of event
a dice have 1,2,3,4,5,6 having 6 event but in question it is two dice tossed together
so
total event = 6^2
Product of two number on top is 6 so favourable outcome = (1,6),(2,3)
probability = 2/36 = 1/18
Answer:
Two dices are thrown no probable chances are
(1, 1); (1, 2); (1, 3); (1, 4); (1, 5); (1, 6)
(2, 1); (2, 2); (2, 3); (2, 4); (2, 5); (2, 6)
(3, 1); (3, 2); (3, 3); (3, 4); (3, 5); (3, 6)
(4, 1); (4, 2); (4, 3); (4, 4); (4, 5); (4, 6)
(5, 1); (5, 2); (5, 3); (5, 4); (5, 5); (5, 6)
(6, 1); (6, 2); (6, 3); (6, 4); (6, 5); (6, 6)
How many sets possible? Yeah it's 36.
Out of these 36 sets, we know product should be 6.
In what cases 6 can be product?
→ 6 × 1, 1 × 6, 2 × 3, 3 × 2
→ (6, 1); (1, 6); (2, 3); (3, 2)
How many time these sets came? Yeah it's 4.
Probability = 4/36 = 1/9