Find the probability that when a hand of 7 cards are drawn from the well-shuffled deck of 52 cards, it contains (i) all kings (ii) 3 kings

(i) 0/7

(ii) 3/7

Step-by-step explanation:

In a deck of 52 playing cards, there are 13 cards of each clubs, spades, diamonds, and hearts. From those 13 cards, each group has 1 King, Queen, Jack respectively.

No.of total outcomes = 7

(i) In the entire 52 cards, there will be 4 Kings.

The probability of getting 4 kings in 7 cards can be 4/7.

But since there are only 4 kings (4<7), the probability of getting all kings in 7 cards would be 0/7.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.