PLEASE HELP WITH THIS CONDITIONAL PROBABILITY QUESTION AND PLEAS COULD YOU SHOW A STEP BY STEP EXPLANATION. Adam and Boris regularly play each other at chess and in 60% of their games each player is subject to ta time limit but only 30% of the games played without a time limit.

(a) Find the probability that Adam wins his next game of chess against Boris

(b) Given that Adam wins a game, find the probability that it was played with a time limit.

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.