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what is the probability of getting atleast 50 heads while tossing 99 coins?
Read Solution (Total 16)
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- (99c50+99c51+99c52.....99c99)(1/2)^99
- 11 years agoHelpfull: Yes(20) No(2)
- here is a case of binomial distribution...
we want 50 heads from 99 coins
so 99C50*(1/2)^50*(1/2)^49 - 11 years agoHelpfull: Yes(6) No(2)
- it is may be the question of binominalso theanswer may be 99c 55*(1/2)^50 *(1-1/2)^49
- 11 years agoHelpfull: Yes(4) No(5)
- required probability :
(99c50 + 99c51 + ......... + 99c99)/(2^99)
99c50 + 99c51 + ......... + 99c99=99c0 + 99c1 + ........ +99c49
99c0 + 99c1 + ..... + 99c99 = 2^99
2(99c50 + 99c51 + ......... + 99c99)/(2^100)
2^99/2^100=1/2
solution is 1/2 - 9 years agoHelpfull: Yes(3) No(1)
- as its asked to find probability of getting at least 50 head thus
(99c50*(1/2)^50*(1/2)^49)+(99c51*(1/2)^50*(1/2)^49)+(99c52*(1/2)^50*(1/2)^49)+.......=(1/2)^99[99c50 +99c51+....] is same as = (1/2)^99[99c0 +99c1+......] = (1/2)^99[2^99] and hence =1 - 11 years agoHelpfull: Yes(2) No(7)
- what is the exact answer and also give proper solutions with full explanations.
- 11 years agoHelpfull: Yes(2) No(1)
- @INDRANIL BANERJEE i m not sure, but i thik this way only we can cover all the cases.
- 11 years agoHelpfull: Yes(1) No(1)
- at least means 50 or more than 50
(1/2)^50*(1/2)^49+(1/2)^51*(1/2)^48+.......(1/2)^99
there is 50 terms so 50*(1/2)^99 is the ans
- 11 years agoHelpfull: Yes(1) No(1)
- the required probability is 50/99
- 11 years agoHelpfull: Yes(0) No(11)
- (99!/(50!*49!))/2^99
- 11 years agoHelpfull: Yes(0) No(5)
- answer is 99c16*(0.5)^50*(1-0.5)^49
- 11 years agoHelpfull: Yes(0) No(4)
- I THINK KRATIKA IS RIGHT.....ARE U SURE @kratika jain??
- 11 years agoHelpfull: Yes(0) No(4)
- sorry previusly i hd posted a wrong answer it is may be the question of binominalso theanswer may be 99c 50*(1/2)^50 *(1-1/2)^49
- 11 years agoHelpfull: Yes(0) No(1)
- 1/2................................
- 11 years agoHelpfull: Yes(0) No(3)
- Is there any shortcut to solve the problem ..
- 9 years agoHelpfull: Yes(0) No(1)
- As probability asked is of getting atleast 50 heads and not exactly 50 heads, the solution should be 49*((1/2)^99)
- 9 years agoHelpfull: Yes(0) No(0)
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