# In a pack of 90 cards, each card was marked with a different number among 110 to 199. A card was selected at random. Find the probability that the number of it is not a perfect square.

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*(Please disregard my previous posts.)*

Take note that probability is a measure/estimate that an event is likely to happen. To compute, apply the formula:

number of favorable outcomes

P(A) = -------------------------------------------

total number of possible outcomes

From 110 to 199, there are a total of 90 numbers present (see attached). Among the numbers present, only four of them have perfect square factors. These are:

`11^2 = 121`

`12^2=144`

`13^2=169`

`14^2=196`

This means that there are 86 numbers that are not prefect squares.

So out of 90 possible outcomes, there are 86 favorable outcomes in getting a number that is not a perfect square.

Applying the formula above, it will yield:

`P(A)= 86/90=43/45`

**Therefore, the probability that the number selected is not a perfect square is `43/45` .**

Take note that probability is a measure/estimate that an event is likely to happen. To compute, apply the formula:

number of favorable outcomes

P(A) = -------------------------------------------

total number of possible outcomes

From 110 to 199, there are a total of 90 numbers present (see attached). Among the numbers present, only three of them have perfect square factors. These are:

`11^2 = 121`

`12^2=144`

`13^2=169`

This means that there are 87 numbers that are not prefect squares.

So out of 90 possible outcomes, there are 87 favorable outcomes in getting a number that is not a perfect square.

Applying the formula above, it will yield:

`P(A) = 87/90 = 29/30`

**Therefore, the probability that the number selected is not a perfect square is `29/30` .**

I apologize, I was not able to attach the list of numbers from 110 to 119 in my first post.

I'll attach it in now.

Hi....

The formula to find probability of an event is

P(E) = (number of favorable outcomes)/(total number of possible outcomes)

Here, total number of possible outcomes = 90

number of favorable outcomes = 90 - 4 = 86 ( `11^2, 12^2, 13^2` and `14^2` )

`therefore P(E) = 86/90 = 43/45 `