Hi,
Could you please help me resolve this question:

Three players Lal, Krishna and Aswini are playing a game in which they toss a coin cyclically in the order – Lal, Krishna, Aswini, Lal, Krishna, Aswini, Lal. …- till a head shows. The player who gets a head on the coin first wins the game. The coin is loaded with P(Heads) = 0.25 and P(Tails) = 0.75. What is the probability that Krishna wins the game?

I plan to solve a similar question in a slightly later post ðŸ™‚ So do have a little patience and I will resolve this. (I guess the answer would be something like 16/37)

Sir, in second question, we are considering the events to be independent because sample space is infinite or because the sample space is unknown? also, is there a difference between the two cases?

Because it is effectively infinite (unknown is not really within the scope of what we have to deal with). Think of the definition of independent; one thing happening won’t change the probability of the other. Here since there are a huuuuuge bunch of bulbs, both faulty and fine, even if the first few picked are say faulty, the fraction will not really change at all. 40000/100000 or 39995/100000, kya farak padta hai…

Hi,

Could you please help me resolve this question:

Three players Lal, Krishna and Aswini are playing a game in which they toss a coin cyclically in the order – Lal, Krishna, Aswini, Lal, Krishna, Aswini, Lal. …- till a head shows. The player who gets a head on the coin first wins the game. The coin is loaded with P(Heads) = 0.25 and P(Tails) = 0.75. What is the probability that Krishna wins the game?

I plan to solve a similar question in a slightly later post ðŸ™‚ So do have a little patience and I will resolve this. (I guess the answer would be something like 16/37)

regards

J

Sir, in second question, we are considering the events to be independent because sample space is infinite or because the sample space is unknown? also, is there a difference between the two cases?

Because it is effectively infinite (unknown is not really within the scope of what we have to deal with). Think of the definition of independent; one thing happening won’t change the probability of the other. Here since there are a huuuuuge bunch of bulbs, both faulty and fine, even if the first few picked are say faulty, the fraction will not really change at all. 40000/100000 or 39995/100000, kya farak padta hai…

regards

J