There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out from the bag at random. Find the probability that the number on the selected card |
(i) is divisible by 9 and is a perfect square, |
(ii) is a prime number greater than 80. |
Answer:
Number of possible outcomes \[=100\] (i) Let \[{{E}_{1}}\] be the event of getting a number divisible by 9 and is a perfect square. \[\therefore \] Favourable outcomes \[=\{9,36,81\}\] Number of favourable outcomes \[=3\] \[\therefore P({{E}_{1}})=\frac{3}{100}\] (ii) Let \[{{E}_{2}}\] be the event of getting a prime number greater than 80. \[\therefore \] Favourable outcomes \[=\{83,89,97\}\] Number of favourable outcomes \[=3\] \[\therefore P({{E}_{2}})=\frac{3}{100}\]
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