## Ashish Bajpai is teaching live on Unacademy Plus

THE LA OF TOTAL PROBABTLTTy Let S be the sample pace and et E, E En be n mutually exclu sive and exhaustive events associat daitha random experim any event hich occars with a is E, or E2 En, then

En - An Em the lau of total proba bility Say that an everd A Com occar in n mutually cxclasive ays then the probability of occurce of A is the Sum of the proba bities of

caays as Shoun In the fl trediay ro a m PCE EI Ca P CEn) Em

9/ A persom has undertaken a constraction job the Probabilities are osthat there wil be Strike o 8o that the constroction job wi4 be complefed on thnc Construction job sibe Combleted on time s a Strike Determime the proba bit that ob wie be Comblcted on time

by tatak robability theorem, de have

A fair die s rolled ad that numbr of balls are chosen from the urn. find the probability that the balls elected ane whitc Or Qet Ac denote the event that the miamin appears on the dic and det E demote the event that oney ee balls are drawn the n P(Ai) =-1-for i= 1,2,

loc -Then the negaired probabilit j ( 6

93/ In a bolt factory machies Ai ond < ufect ne ne spectively 2st 3s./. and 401 of the total bolts . their ou\ and 2 poncent ane nesectively defective bolts A bolaA is dnaam a random from the roduct G) hat is the roba bility that the bal, daam is dnacom IS

To o E:3)

-suppose families ako ays have one too or three children o ta pYoba6fLities -a-, L. and a 4 2 nespectively Assume evey ome eventual Jcts marricd and has Childen then find the Probability ofa couple having exacty four grand chi ldren

Ohem couple has three Childhen any too of Childen have one child c and remaimi has too childrem 42 ) Clor ( 3 16 12o 27 I 20