Question

Study the case below and answer the respective questions.
Ticket of a game costs Rs. 500/- per person, the game comprises of an experiment where 3
coins are to be tossed once and for each tail the organizer claims to pay Rs. 200/- and for each
head a sum of Rs. 100/- is to be paid.
i) Prepare the probability distribution table
ii) What type of probability distribution it is
iii) Is it profitable to play the game, give justification on the basis of the analysis of probability
distribution table.

Answer 1

the probability distribution for the above table is =HHH ,HTT ,HHT,TTT, HTH, THH,

Answer 2

Answer:

Step-by-step explanation:

I) The probability distribution table

Outcomes of tossing. Earnings

(Rs)

H. H. T. 400

H. T. H. 400

T. H. H. 400

T. H. T 500

T. T. H. 500

H. T. H. 500

We have calculated the earnings, by multiplying by Rs100 for every head and multiplying by Rs200 for every tail.

II) This is an independent event probability, since, getting either a head or a tail does not depend on any event.

III) It is not profitable to play tye game, since the highest amount one can earn is Rs500, while that is the same amount they paid to play the game.