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Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.
The theoretical probability of choosing a letter other than Z is __.

Respuesta :

Answer:

The theoretical probability of choosing a letter other than Z is 96.2%

Step-by-step explanation:

We know that there are 26 alphabets.

Also, the number of  alphabets which are other than Z are: 25

Now we are asked to find the theoretical probability of randomly choosing any letter except Z :

It is the ratio of the number of alphabets other than Z to the total number of alphabets.

which is calculated as:

[tex]Theoretical\ Probability=\dfrac{25}{26}\\\\\\Theoretical\ Probability=0.961538[/tex]

In percent to the nearest tenth the theoretical probability is given by:

                    96.2%

The theoretical probability of choosing a letter other than Z is in which all 25 letters are excluded is 0.9615.

What is the probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

Alphabet is there.

To find

The probability of choosing a letter other than Z.

How to find The probability of choosing a letter other than Z?

The formula of probability,

[tex]\rm Probability = \dfrac{favorable\ event }{Total \ events}[/tex]

Here we have

Total alphabet = 26

Favorable event = 25

[tex]\rm Probability = \dfrac{25}{26}\\\\\rm Probability = 0.9615[/tex]

Thus, the probability of choosing a letter other than Z is 0.9615.

More about the probability link is given below.

https://brainly.com/question/795909