Solve this
Five cards are lettered A, B,C,D,E.
Three cards are chosen at random, one after the other without replacement and are placed in order.
What is the probability that the cards spell the word BED.
First, we need to determine the total number of possible outcomes when choosing 3 cards out of 5 without replacement. This can be calculated using permutations:
Total outcomes = 5P3 = 5! / (5-3)! = 5! / 2! = 60
Next, we need to determine the number of ways we can select the cards to spell the word BED. There is only 1 way to spell BED using the given cards.
Therefore, the probability of selecting the cards to spell BED is:
Probability = Number of favorable outcomes / Total outcomes
Probability = 1 / 60
Probability = 0.0167 or 1.67%
So, the probability of the cards spelling the word BED is 1.67%.