In a certain game your probability of winning is 11000 you p

In a certain game your probability of winning is 1/1000 you play the game 200 times. What\'s the prob that you win exactly once?
In a certain game your probability of winning is 1/1000 you play the game 200 times. What\'s the prob that you win exactly once?

Solution

Binomial Distribution

PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial


P( X = 1 ) = ( 200 1 ) * ( 0.001^1) * ( 1 - 0.001 )^199
= 0.1639
                  

In a certain game your probability of winning is 1/1000 you play the game 200 times. What\'s the prob that you win exactly once? In a certain game your probabil

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