
,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
a = -8
Step-by-step explanation:
-5⁄2 a + 5 = 25
Subtract 5 from each side
-5⁄2 a + 5-5 = 25-5
-5/2 a = 20
Multiply each side by -2/5 to isolate a
-2/5 * -5/2 a = -2/5 *20
a = -8
Answer:
6/10
Step-by-step explanation:
2 groups of 3/10 =
2 × 3/10 =
6/10
Answer:
linear
Step-by-step explanation: