A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment

35

Step-by-step explanation:

Given that :

Number of balls = 8

Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)

Possibilities unt a blue ball is picked :

B, RB, GB, RRB, RGB, GRB, G

Draw 1 = B = 1

Draw 2 = B = 2C1 = 2

Draw 3 = B = 3C2 = 3

Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4

Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5

Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6

Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7

Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7

Taking the sum:

(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35

There are 35 elements in the sample space

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.

answer: its the third option.

step-by-step explanation:

i just took the test.