Question

PLEASE HELP!! ANSWER AND EXPLANATION NEEDED URGENTLY!!

Answer 1

Using it's concept, it is found that the probability that the button is either pink or blue is:

$p = \frac{26}{29}$

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

• There are x yellow buttons.

• There are y blue bottons.

• There are z pink buttons.

There are six times as many pink buttons as yellow books, hence:

z = 6x.

Considering the ratio of yellow buttons to blue buttons, we have that:

$\frac{x}{y} = \frac{3}{8}$

3y = 8x

$y = \frac{8x}{3}$

The total number of buttons is given by:

$T = x + \frac{8x}{3} + 6x$

$T = \frac{29x}{3}$

The number of pink or blue is given by:

$y + z = \frac{8x}{3} + 6x = \frac{26x}{3}$

Hence the probability is given by:

$p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}$

More can be learned about probabilities at https://brainly.com/question/14398287

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