An unbiased dice is tossed 5 times. Calculate the
probability of getting at least 3 sixes.
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probability of getting atleast 3 sixes means that
we can have 3sixes, 4sixes or 5 sixes
Using the concept of Bernoulli's trials and random variable
Let X be d random variable which denotes no. of sixes
X=3,4,5
success,p=1/6 ---getting a six in a throw of die
failure,q=5/6---getting a no. other tgan six on d die
no. of trials, n =5
Therefore , the required probability is
P(X=3,4,5) = 5C3 + 5C4 +5C5
we can have 3sixes, 4sixes or 5 sixes
Using the concept of Bernoulli's trials and random variable
Let X be d random variable which denotes no. of sixes
X=3,4,5
success,p=1/6 ---getting a six in a throw of die
failure,q=5/6---getting a no. other tgan six on d die
no. of trials, n =5
Therefore , the required probability is
P(X=3,4,5) = 5C3 + 5C4 +5C5
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