Answer:
21
Step-by-step explanation:
Hi there!
We are given the expression x(y-z), and we want to evaluate it if x=3, y=9, and z=2
As we're given the values of the variables, we can substitute those values into the expression to find out what the value of the expression is.
So substitute 3 as x, 9 as y, and 2 as z in the expression above
x(y-z)
3(9-2)
Now we must follow the order of operations; start by subtracting 2 from 9 (do the stuff inside the parentheses first)
3(7)
Now multiply 3 and 7 together
<u>21</u>
Hope this helps!
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
