Question:
There are 1000 sealed envelopes in a box, 10 of them contain a cash prize of ₹ 100 each, 100 of them contain a cash prize of ₹ 50 each and 200 of
them contain a cash prize of ₹ 10 each and rest do not contain any cash prize. If they are well shuffled and an envelope is picked up out, what is the
probability that it contains no cash prize?
Solution:
Total number of sealed envelopes in a box, n (S) = 1000
Number of envelopes containing cash prize = 10 + 100 + 200 = 310
Number of envelopes containing no cash prize,
$n(E)=1000-310=690$
$\therefore$ $P(E)=\frac{n(E)}{n(S)}=\frac{690}{1000}=\frac{69}{100}=0.69$
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