Note: enter your answer and show all the steps that you use to solve this problem in the space provided. you roll a number cube twice. find p(even, then not 2). write the probability as a fraction in simplest form.

5/12

Step-by-step explanation:

First find the probability on the first roll

The possible results are 1,2,3,4,5,6

evens: 2,4,6

not 2 = 1,3,4,5,6

P(even)=  number of evens/total = 3/6 = 1/2

P (not 2) = number of results not 2/ total = 5/6

Since the rolls are independent (do not depend on each other), we can multiply the probabilities

P(even, then not 2) = 1/2 * 5/6 = 5/12

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.