Set up the two events
A = first card is a 9
B = second card is a 9
The probability for event A is
P(A) = 4/52
because there are four "9" cards out of 52 total
If event A happens first, and B follows, then the probability is
P(B|A) = 3/51
because there are 3 nines left over out of 52-1 = 51 total left over
No replacement has been made
The notation P(B|A) means "probability of event B given that event A has happened"
Multiply the probabilities
P(A and B) = P(A)*P(B|A)
P(A and B) = (4/52)*(3/51)
P(A and B) = (4*3)/(52*51)
P(A and B) = 12/2652
P(A and B) = 1/221
P(A and B) = 0.00452488687782
Rounded to 4 decimal places, the approximate answer is 0.0045
The exact answer as a fraction is 1/221
Answer:
29
Step-by-step explanation:
1. multiply to -18 add to -17 = Multiplying -18 and 1 will give -18 as the result and then on adding -18 and + 1 the result comes to -17
It would take about 23.1 months for the plant population to be 138 plants.
<h3>
Exponential Function</h3>
An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Given:
![P(m)=19.3(1.089)^m](https://tex.z-dn.net/?f=P%28m%29%3D19.3%281.089%29%5Em)
Where P is the plant population after m months.
For a population of 138 plants:
![138=19.3(1.089)^m\\\\m*ln(1..089)=ln(7.15)\\\\m=23.1](https://tex.z-dn.net/?f=138%3D19.3%281.089%29%5Em%5C%5C%5C%5Cm%2Aln%281..089%29%3Dln%287.15%29%5C%5C%5C%5Cm%3D23.1)
It would take about 23.1 months for the plant population to be 138 plants.
Find out more on Exponential Function at: brainly.com/question/12940982