A standard deck of cards contains 52 cards. One card is randomly selected from the deck: Compute the probability of randomly selecting a queen or club from a deck of cards.

The probability of randomly selecting a queen or club from a deck of cards = 17/52

Step-by-step explanation:

Here in this question, we are concerned with computing the probability of randomly selecting a queen or club form a deck of cards

Mathematically, the probability is;

Probability of selecting a queen + Probability of selecting a club

Probability of selecting a queen = number of queens/total card number

The number of queens = 4

Probability of selecting a queen = 4/52

Probability of selecting a club card = number of club cards/ total number of cards

Number of club cards = 13

Probability of selecting a club card = 13/52

The probability of selecting a queen or club from a deck of cards = 4/52 + 13/52 = 17/52

d

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt