Answer:
for independent A and B, P(A|B) = P(A)
Step-by-step explanation:
The definition of conditional probability is ...
P(A|B) = P(A&B)/P(B)
When A and B are independent, ...
P(A&B) = P(A)·P(B)
so the conditional probability is ...
P(A|B) = (P(A)·P(B))/P(B) = P(A) . . . . . for independent A and B
In words, when A and B are independent, the probability of A given B is the same as the probability of A. That is, the probability of B has no effect on the probability of A.
x+3x= 4x
Because there is a invisable 1 in front of the X. Hope this helps!
Answer:
No, they need $138.76 more
Step-by-step explanation:
April:
10% of $125 = 12.5
12.5 x 2 = 25
$125 + $25 = $150
May:
10% of $150 = $15
$15 x 2 = $30
$150 + $30 = $180 (180 is 20% more than 150)
June:
10% of $180 = $18
$18 x 2 = $36
$180 + $36 = $216
July:
10% of $216 = $21.60
$21.60 x 2 = $43.20
$216 + $43.20 = $259.20
August:
10% of $259.20 = $25.92
$25.92 x 2 = $51.84
$259.20 + $51.84 = $311.04
$125 + $150 + $180 + $216 + £259.20 + $311.04 = $1241.24
$1380 - $1241.24 = $138.76