As demonstrated over, an exemplary deck of cards is comprised of 52 cards, 26 are dark, 26 are red. Each tone is part into two suits of 13 cards each (clubs and spades are dark and hearts and precious stones are red). Each suit is part into 13 individual cards (Ace, 2-10, Jack, Queen, and King).

In the event that you select a card aimlessly, what is the likelihood of getting: (Round to 4 decimal spots where conceivable)

a) A 5 of Spades?

b) A Heart or Diamond?

c) A number more modest than 8 (including the pro as a 1)?

Allude to the accompanying table with respect to the round of keno.

Outcome Probability

9 winning spots 0.0000007243

8 winning spots 0.0000325925

7 winning spots 0.0005916784

6 winning spots 0.0057195580

5 winning spots 0.0326014806

Less than 5 winning spots 0.9610539663

(a) Find the normal worth of a $1 bet in nine-spot keno if five winning spots pays $1 (however you pay $1 to play, so you really make back the initial investment), six winning spots pays $40(but you pay $1 to play, so your benefit is $39), seven pays $350, eight pays $5,500, and nine pays $20,000. (Round your response to two decimal spots.)

In the round of keno, if six spots are denoted, the player wins if at least four of their spots are chosen. Complete the graph. (Round your responses to eight decimal spots.)

Outcome Probability

6 winning spots

5 winning spots

4 winning spots

3 winning spots

less than 3 winning spots

*@16-

300 individuals go after three positions. Sixty of the candidates are ladies.

(a) If three individuals are chosen indiscriminately, what is the likelihood that all are ladies? (Round your response to six decimal spots.)

(b) If three individuals are chosen indiscriminately, what is the likelihood that two are ladies? (Round your response to six decimal spots.)

(c) If three individuals are chosen indiscriminately, what is the likelihood that one is a lady? (Round your response to six decimal spots.)

(d) If three individuals are chosen aimlessly, what is the likelihood that none is a lady? (Round your response to six decimal spots.)

(e) If you were a candidate, and the three chose individuals were not of your sex, should the above probabilities affect your circumstance? Why?