Five cards are lettered A, B, C, D, E Three cards are chosen at random one after the other without replacement and are in the order shown below
First, Second, Third
What is the probability that the cards spell the word BED
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To find the probability that the cards spell the word "BED," we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
Since we are choosing three cards without replacement, for the first card we have five options, for the second card we have four options left, and for the third card we have three options left. Therefore, the total number of possible outcomes is 5 * 4 * 3 = 60.
Number of favorable outcomes:
To spell the word "BED," we need to choose the cards in the order B, E, D. Since there is only one card labeled B, one labeled E, and one labeled D, the number of favorable outcomes is 1.
Now we can calculate the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 60
Therefore, the probability that the cards spell the word "BED" is 1/60.