Multiple choice

In a game involving a draw of numbered coins, the numbers are in the range 101 to 550, both inclusive. If the number on the coin drawn bears the first digit as 1, 2 or 3 and the last digit as 4, 5 or 6, the draw is considered successful. What is the chance that a person is successful in a single draw of coin?

  1. 15%

  2. 20%

  3. 30%

  4. 60%

  5. 90%
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The total numbers available are 550 minus 101 plus 1, giving 450 total outcomes. A successful outcome requires the first digit to be 1, 2 or 3, which restricts the choices to numbers from 100 to 399, yielding 3 multiplied by 100 for 300 possibilities. For the last digit to be 4, 5 or 6, we multiply these 300 possibilities by the 3 acceptable digits and divide by 10 total digits, yielding 90 successful outcomes. The probability is 90 divided by 450, which simplifies to 1/5 or 20%.

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