Cards marked with numbers $2$ to $101$ are placed in a box and mixed thoroughly. One card is drawn from this box randomly, then find the probability that the number on card is a perfect square.
Given: Cards marked with numbers $2$ to $101$ are placed in a box and mixed thoroughly. One card is drawn from this box randomly.
To do: To find the probability that the number on card is a perfect square.
Solution:
Perfect square are$=4,\ 9,\ 16,\ 25,\ 36,\ 49,\ 64,\ 81,\ 100$
Number of favorable outcomes $=9$
Total number of possible outcomes $=100$
Probability of getting a perfect square $=\frac{9}{100}$
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