plz give a brief Answer Thank You - Maths - Probability

Question

plz give a brief Answer Thank You

Two dice are thrown simultaneously 500 times each time the sum of
two number appearing on their tops is noted and recorded as given
:-

Sum of No Fre
2 19
3 30
4 22
5 55
6 52
7 75
8 70
9 53
10 26
11 28
12 70

TOTAL = 500

If the dice are thrown one more, Find the probability of getting a
sum ;)

1 of 7
2 more than 11
3 less than or equal to 6
4 between 5 and 10

Thank You Plz Answer :)

Ashutosh Verma · Accepted Answer

Answer :

We know Probability P ( E ) =
Total number of desired events n ( E )Total number of events n ( S )

Here Total number of events n ( S ) = 500

And

1 ) The probability of getting a sum of 7
So,
n ( E ) = 75
And
Probability of getting a sum of 7 =
75500 = 320                ( Ans )

2 ) The probability of getting a sum more than 11
So,
n ( E ) = 70
And
Probability of getting a sum more than 11 =
70500 = 750                ( Ans )

3 ) The probability of getting a sum less than or equal to 6
So,
n ( E ) = 19 + 30 + 22 + 55 + 52 = 178
And
Probability of getting a sum less than or equal to 6 =
178500 = 89250                ( Ans )

4 ) The probability of getting a sum between 5 and 10
So,
n ( E ) = 52 + 75 + 70 + 53 = 250
And
Probability of getting a sum between 5 and 10 =
250500 = 12                ( Ans )