Five cards are lettered A B C D R.Three cards are chosen at random, one after the other, without replacement and are placed in the order.what is the probability that the cards spell the word BED

0, there is no E to start with.

To find the probability of spelling the word BED with the given cards, we need to determine the total number of possible outcomes and the number of favorable outcomes.

First, let's determine the total number of possible outcomes. Since three cards are chosen without replacement, we have 5 options for the first card, 4 options for the second card, and 3 options for the third card. Therefore, the total number of possible outcomes is 5 x 4 x 3 = 60.

Next, let's determine the number of favorable outcomes, which is the number of ways we can arrange the cards to spell BED. Since the cards are lettered A, B, C, D, and R, we need to choose B as the first card, E as the second card, and D as the third card. There is only one way to do this.

Thus, the number of favorable outcomes is 1.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes
Probability = 1 / 60
Probability ≈ 0.0167 or 1.67%

Therefore, the probability of spelling the word BED with the given cards is approximately 0.0167 or 1.67%.