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A computer randomly selects a letter from the alphabet.

How many different outcomes are in the sample space?
What is the probability the computer produces the first letter of your first name?

User Megloff
by
7.2k points

2 Answers

5 votes

Answer:

there is 26 outcomes and the chance of the letter being the letter in your first name is 1/26

Explanation:

User Bernardo Duarte
by
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7 votes

Answer:

1) 26 different outcomes are in the sample space.

2) 1 / 26 is the probability that the computer produces the first letter of your first name.

The sample space is the set of all the 26 alphabets in English language.

⇒ Sample space = {A,B,C,D...........,Y,Z}

⇒ 26 different outcomes.

2.

Here, the required outcome is getting the first letter of your first name.

Probability = No. of required outcomes / total no. of outcomes.

For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.

∴ Probability = 1 / 26

Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.

braniliest?

User Kevin Powell
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6.8k points