If it is assumed that all ( 52 5 ) poker hands are equally likely, what is the probability of being dealt
a. a flush? (a hand is said to be a flush if all 5 cards are of the same suit.)
b. one pair? (this occurs when the cards have denominations a , a , b , c , d , where a , b , c , and d are all distinct.)
c. two pairs? (this occurs when the cards have denominations a , a , b , b , c , where a , b , and c are all distinct.)
d. three of a kind? (this occurs when the cards have denominations a , a , a , b , c , where a , b , and c are all distinct.)
e. four of a kind? (this occurs when the cards have denominations a , a , a , a , b . )

step-by-step explanation: yes

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)