## Ashish Bajpai is teaching live on Unacademy Plus

So dice are throon 729 imes. How many times do ou expect a (east three dice to Show a 2 2 3 Y= o, 1,2,3

TC 3 2 C3 3 1 3 64-X31 496 = 233

Thas the freV"ency tha at least three dice Sou v sic When si die one throon 2.9. P (X 23)= 29X 2-33 7 25 233

O Sabse that of pol arigt handed. hat ubpos e is the pro bability that at most 6 lo people an e wi9h4-handed A pnson a be eithen righd handed nt the people ane right handed Thnglane am de

lo hendane the hrobability that most 6 eo

) Ho mony times must a man toss a fair coim So tha the robability of having ak least ome head i moTe ,s(4)74) 2

g given tha chting a least one head )-> 2

2 2 the mi ni mum valu n thak sati s dies the give lnegaaluty s 4- TAus the mam Should +ass the coin 4 or more tham 4 times

O./ A drunken man ta kes a Step forward with Probability O-4 and backcoards with probability o. find the probability that at the end e(cven Steps. he is ome Step auay from the Stanting This can habbem nfolo Taxo ays (l) he takes S-Steps foru, ard and 6 Ste s backward i) he takes 6 Stes forward and SStebs backward Proba bility of firstcaseCo4 C )

6 Probability second caue -co4 Co 6 J utred probability o -6 462 ( 2.4)

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