Question

@ganeshie8 @UnkleRhaukus

Answer 1

???

Answer 2

A player tosses a coin. He sets one point for head and 2 points for tail He plays till he gets sum of
points equal to n. If \(\bf p_n\) be the probability that his score becomes `n`, then

Answer 3

I have doubt in p1 !

Answer 4

I think p1 should be 1 .

Answer 5

am i correct ? @ganeshie8 and @UnkleRhaukus

Answer 6

would it only be 0.5 ?

Answer 7

how ?

Answer 8

To get n=1, only one way is there , get head

Answer 9

if heads then the player gets 1
if tails the player gets 2 ≠ 1

Answer 10

yep !

Answer 11

but we have to find p1 i.e n=1

Answer 12

only one chance is there

Answer 13

get head

Answer 14

but that outcome is only 50% likely

Answer 15

i know

Answer 16

but i am confused

Answer 17

see we have to find probability for getting n=1
Two chances are there
1) getting head
2) getting tail
But we have to find n=1 which can only done by getting head

Answer 18

where am i wrong ?
Find probability when n=1
and only one chance is there

Answer 19

i am confused !!!
:(

Answer 20

I know tail can be come but it does not satisfy our condition yet

Answer 21

for the first flip:
one favourable outcome ÷ two possible outcomes

Answer 22

oh ! i get it now

Answer 23

Thanks for your help @UnkleRhaukus

Answer 24

Favourable Outcome is 1 and total outcomes are 2

Answer 25

notice that if you miss the 1 on the first coin flip, you will never get 1, even after infinite flips

Answer 26

why ?

Answer 27

@UnkleRhaukus

Answer 28

because the sum of some positive numbers (where the first is 2), is always greater than 1

Answer 29

i don't understand :(

Answer 30

Oh ! i do understand now :D

Answer 31

Thanks for your great help