Since they are independent events to find the probability of both is P(A) * P(B)
P(A) = P(Heads) =

P(B) = P(Roll ≥ 4) =

Now multiply those fractions together

= P(Heads & ≥ 4)
Answer:8
Step-by-step explanation:
First, substitute 7 into the equation for b:
1/3(2x7+10)
Now, simplify using the order of operations:
1/3(14+10)
Then:
1/3 (24)
And you arrive at your answer:
8
Answer: y=-1/2x-4
Step-by-step explanation:
If you use point slope formula you get
y+2=-1/2(x+4)
simplify that in y=mx+b and you get
y=-1/2x-4
4220.3 miles is the answer you are looking for
Answer:
The probability that Andrew will be among the 4 volunteers selected and Karen will not is 2/7.
Step-by-step explanation:
From the given information it is clear that
The total number of volunteers, including Andrew and Karen = 8
The total number of volunteers, excluding Andrew and Karen = 8-2 = 6
We need to find the probability that Andrew will be among the 4 volunteers selected and Karen will not.
Total number of ways of selecting r volunteers from n volunteers is

Total number of ways of selecting 4 volunteers from 8 volunteers is

Total number of ways of selecting 4 volunteers from 8 volunteers, so that Andrew will be among the 4 volunteers selected and Karen will not is

The probability that Andrew will be among the 4 volunteers selected and Karen will not is



Therefore the probability that Andrew will be among the 4 volunteers selected and Karen will not is 2/7.