A student first picks a random letter from the word "cat" and then a random letter from the word "meow." (Hint: draw a tree diagram to help, if needed!)
How many outcomes are in the sample space?
What is the probability that a "c" is chosen (from the word cat)?
. What is the probability that a "w" is chosen (from the word meow)?
What is the probability that a "c" and a "w" are chosen?

Question

15-05-2024
Physics

Answered

A student first picks a random letter from the word "cat" and then a random letter from the word "meow." (Hint: draw a tree diagram to help, if needed!)
How many outcomes are in the sample space?
What is the probability that a "c" is chosen (from the word cat)?
. What is the probability that a "w" is chosen (from the word meow)?
What is the probability that a "c" and a "w" are chosen?

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-05-15T19:19:47-04:00

Final answer:

The answer explains the sample space outcomes, the probabilities of choosing 'c' and 'w' from the given words, and the probability of choosing both 'c' and 'w'.

Explanation:

Sample space outcomes: There are 9 outcomes in the sample space when picking a letter from 'cat' and 'meow.'

Probability of choosing 'c' from 'cat': Probability = 1/3 = 0.33

Probability of choosing 'w' from 'meow': Probability = 1/4 = 0.25

Probability of choosing 'c' and 'w': Probability = 1/3 * 1/4 = 1/12 = 0.0833

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