Question

The letters G, E, N, I, D, S are placed in a bag. What is the probability that the letters are randomly pulled from the bag in the order that spells DESIGN?

Answer 1

The probability of randomly pulling from the bag in the order that spells DESIGN = 1/720

= 0.001389 or 0.1389%

Explanation:

The letters placed in a bag = 6

The different ways to choose six letters are a permutation without repetition

And permutation without repetition

= 6 x 5 x 4 x 3 x 2 x 1 = 720 ways

Therefore, the probability of randomly pulling from the bag in the order that spells DESIGN

= 1/720

= 0.001389 or 0.1389%

Probability is defined as the chance that the spelling DESIGN will be pulled from a bag containing the letters: G, E, N, I, D, S, which has 720 ways to choose the letters.