15) Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. The probability that the number on the card taken out is an even number, is
Question
- Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. The probability that the number on the card taken out is an even number, is
Solution
Step 1: Identify the total number of outcomes. The cards are numbered from 3 to 20, so there are 20 - 3 + 1 = 18 cards in total.
Step 2: Identify the number of favorable outcomes. The even numbers between 3 and 20 are 4, 6, 8, 10, 12, 14, 16, 18, and 20. So, there are 9 even numbers.
Step 3: The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. So, the probability that the number on the card taken out is an even number is 9/18 = 1/2.
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