Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make ?
This questions was previously asked in
Complete-Test, Previous year (2023)
Explanation:
- Raj has 10 pairs of red shoes, which means he needs to draw 2 red shoes to form a complete pair.
- He also has 9 pairs of white shoes (18 single shoes) and 8 pairs of black shoes (16 single shoes).
- If every shoe Raj picks is not red, he might end up with all the white and black shoes before forming a red pair.
- That's a total of 18 (white) + 16 (black) = 34 non-red shoes.
- After these 34 attempts, the next 2 shoes picked will necessarily be red, resulting in a red pair.
- Therefore, he might have to pick a maximum of 36 shoes to find a red pair.
- Based on these calculations, the correct option is Option 2: 36.
Option 2: 36
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By: sunny bhonsle