Blackjack, or twenty-one as it is frequently called, is a popular gambling game played in casinos. a player is dealt two cards. face cards (jacks, queens, and kings) and tens have a point value of 10. aces have a point value of 1 or 11. a 52-card deck contains 16 cards with a point value of 10 (jacks, queens, kings, and tens) and four aces.

a. what is the probability that both cards dealt are aces or 10-point cards?
b. what is the probability that both of the cards are aces?
c. what is the probability that both of the cards have a point value of 10?
d. a blackjack is a 10-point card and an ace for a value of 21.
use your answers to parts
(a), (b), and (c) to determine the probability that a player is dealt blackjack.

answer: i don't understand. what are the options

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.