Abag contains 10 marbles numbered from 1 to 10. two marbles are selected from the bag at the same time. let event e = the two numbers are even. how many outcomes are in the complement of e? a.10 b.20 c.60 d.80

80

Step-by-step explanation:

Given: Number of marbles in the bag = 10

When two marbles are selected from the bag at the same time i.e. repetition is not allowed.

Now, the number of possible ways to select two marbles at same time is given by :-

Let E be the event of drawing the two numbers that are even.

Then, the number of possible ways to select two marbles is given by :

Now, the number of outcomes in the complement of E

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.