In a large bag of marbles, 20% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles? (Assume this is Binomial)

0.0256

Step-by-step explanation:

Assuming a binomial model, with probability of success (getting a red marble) p = 0.20. The probability of obtaining 'k' successes in 'n' trials is:

For k = 3 red marbles in n = 4 trials:

The probability that the child gets exactly three red marbles is 0.0256.

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.