Conditional probablility P(A/B) = P(A and B) / P(B). Here, A is sum of two dice being greater than or equal to 9 and B is at least one of the dice showing 6. Number of ways two dice faces can sum up to 9 = (3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 10 ways. Number of ways that at least one of the dice must show 6 = (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 5), (6, 4), (6, 3), (6, 2), (6, 1) = 11 ways. Number of ways of rolling a number greater than or equal to 9 and at least one of the dice showing 6 = (3, 6), (4, 6), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 7 ways. Probability of rolling a number greater than or equal to 9 given that at least one of the dice must show a 6 = 7 / 11
The simplified expression for 6(2( y + x)) is 12y + 12x.
Accordin to the given question.
We have an expression
6(2( y + x))
Therefore,
The simplified expression for 6(2( y + x)) is given by
6(2(y + x))
= 6(2y + 2x) (by distributive law)
= 12y + 12x (by distributive law)
Hence, the simplified expression for 6(2( y + x)) is 12y + 12x.
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hurdler falled down before the 353535 steps of 100100100 race.
we need to find where she fell down
so we need subtract 353535 from 100100100
she falled at 99746565 step before completing the race
