Asingle card is drawn from a standard 52-card deck. let b be the event that the card drawn is a black, and let f be the event that the card drawn is a face card. find the indicated probability. p(b′∪f) = ?

0.6154 or 61.54%

Step-by-step explanation:

The joint probability P(B′∪F) is given by the sum of each individual probability minus the intersection between both probabilities (red face cards).

The inverse probability of a card being black is also the probability of a card being red, which is 26 in 52. There are 12 face cards in a 52-card deck, 6 of which are not black, therefore:

what are the answear choices to the question.

step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).