If two events are independent, then:

a. the sum of their probabilities must be equal to one.

b. they must be mutually exclusive.

c. their intersection must be zero.

d. none of the above.

D

Step-by-step explanation:

Two events are said to be independent if the occurence of one event does not affect the occurence of the other.

Note:

A. there sum cannot be equal to 1

B. Mutually exclusive events are events with posibility of happening at thesame time

C. When intersection is zero, it means the set is empty, because intersection of an empty set is equal to an empty set

Thus, option D feels most appropriate

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.