Question:
(1) One card is drawn from a set of 17 cards numbered 1 to 17. Find the
probability that the number is divisible by 3 or 7.
Answer:
Total number of cards = 17
Number divisible by 3: 3, 6, 9, 12, 15
Number divisible by 7: 7, 14
Number divisible by 3 and 7 = 0
Now, P(the number is divisible by 3 or 7) = {P(the number is divisible by 3) + P(the number is divisible by 7) - P(the number is divisible by 3 and 7)}/total outcome
=> P(the number is divisible by 3 or 7) = (5 + 2 - 0)/17
=> P(the number is divisible by 3 or 7) = 7/17
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