1
1
Two dice are rolled together. The probability of getting a sum more than 9 is
Two dice are rolled together. The probability of getting a sum more than $9$ is
(A) $5/6 $
(A) $5/6 $
(C) $1/6 $
(B) $5/18 $
(D) $1/2$
This Question has 1 answers.
When rolling two dice, the total number of possible outcomes is:
$ \displaystyle 6 \times 6 = 36 $
To find the probability of getting a sum more than 9, we count the favorable outcomes where the sum is 10, 11, or 12.
Possible outcomes:
- Sum = 10: (4,6), (5,5), (6,4) → 3 outcomes
- Sum = 11: (5,6), (6,5) → 2 outcomes
- Sum = 12: (6,6) → 1 outcome
Total favorable outcomes = $ \displaystyle 3 + 2 + 1 = 6 $
Probability:
$ \displaystyle P(\text{sum} > 9) = \frac{6}{36} = \frac{1}{6} $
Thus, the probability of getting a sum more than 9 is $ \displaystyle \frac{1}{6} $.
$ \displaystyle 6 \times 6 = 36 $
To find the probability of getting a sum more than 9, we count the favorable outcomes where the sum is 10, 11, or 12.
Possible outcomes:
- Sum = 10: (4,6), (5,5), (6,4) → 3 outcomes
- Sum = 11: (5,6), (6,5) → 2 outcomes
- Sum = 12: (6,6) → 1 outcome
Total favorable outcomes = $ \displaystyle 3 + 2 + 1 = 6 $
Probability:
$ \displaystyle P(\text{sum} > 9) = \frac{6}{36} = \frac{1}{6} $
Thus, the probability of getting a sum more than 9 is $ \displaystyle \frac{1}{6} $.
Similar Questions
- A @ B means `A is not smaller than B? A # B means ?A is neither smaller than nor equal to B? A % B means ?A is neither smaller than nor greater than B? A $ B means ?A is not greater than B? A * B means ?A is neither greater than nor equal to B?
- A and B can complete a piece of work in 80 and 120 days respectively. They together start the work but A left after 20 days. After another 12 days C joined B and now they complete the work in 28 more days. In how many days C can complete the work, working
- The letters A, B, C, D, E, F and G not necessarily in that order, stand for seven consecutive integers from 1 to 10, D is 3 less than A, B is the middle term. F is as much less than B as C is greater than D, G is greater than F.
- Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?
- A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?