To find the answer:
The probability of getting a ten:
=4/52
The probability of getting a king:
=4/52
The probability of getting a diamond:
=52×1/4
=13/52
However,there would be king and ten of diamond which overlapped and therefore -2/52 would be in the equation.
We can then sum up to find the equation:
=4/52+4/52+13/52-2/52
=21/52-2/52
=19/52
Therefore the answer is 19/52.
Hope it helps!
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
108<9•12
^. ^
3•3 2•6
^. ^
1•2 3•2
