Probability 3 Question 38
38. An unbiased coin is tossed. If the result in a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well-shuffled pack of eleven cards numbered is picked and the number on the card is noted. What is the probability that the noted number is either 7 or 8 ?
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Solution:
- Let,
the event noted number is 7
Here, favourable cases are
Also,
Here, favourable cases are
and
Now,
Therefore,