p(X<6)

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We know that probability of an event ranges between 0 and 1.

Now by the rule

p(X<a)=1-p(X`>=a` ). Where X is a random variable

So p(X<6)=1-p(X`>=` 6).

e.g. In throwing of dice experiment

P(X<6)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)

=1/6+1/6+1/6+1/6+1/6

=5/6.

Here we see

P(X`>=` 6)=P(X=6)=1/6.

So, 1-P(X`>=` 6)=1-1/6=5/6.

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