Multiple choice

There are 6 pairs of black gloves and 5 pairs of white gloves. They all are put into a box and gloves are drawn one at a time. To ensure that at least one pair of black gloves is drawn out, what is the number of gloves required to be drawn out?

  1. 7

  2. 11

  3. 12

  4. 13

  5. 17

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Suppose you draw 10 gloves and they happen to be all white. Now, you draw out 6 gloves and they all happen to be black in colour but of the same hand. Now, you need to draw one more glove to ensure that you get a black glove of the other hand and hence, a black pair of gloves. Hence, you need to draw 17 gloves in total.