Q. 44.3( 4 Votes )

# Cards bearing numbers 1, 3, 5, ....., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (i) a prime number less than 15, (ii) a number divisible by 3 and 5.

Answer :

Total numbers of elementary events are: 35

(i) Let E be the event of getting a prime number less than 15

The favorable numbers are: 3, 5, 7, 11, 13

Total numbers = 18 [odd numbers between 1 and 36]Then, the numbers of favorable events = 5

∴ P (prime number less than 15) = P (E) = 5/18

(ii) Let E be the event of drawing a number divisible by 3 and 5

Numbers divisible by 3 and 5 is: 15, 30 but 30 is not odd, hence only 15 is in the bag

∴ P (getting a prime number divisible by 3 and 5) = P (E) = 1/18

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