<p>A box contains  \((x+2)\) red balls, \((x−1)\) blue balls, and \(5\) green balls, where&nbsp;\(x\) is a positive integer. One ball is picked at random.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Write down an expression, in terms of \(x\), for the total number of balls in the box.</div></li><li><div class="list-item-paragraph">Find an expression, in terms of \(x\), for the probability of picking a red ball.</div></li><li><div class="list-item-paragraph">Given that the probability of picking a blue ball is \(\frac{1}{4}\), find the value of \(x\).</div></li><li><div class="list-item-paragraph">Using your value of \(x\), find the probability of picking a green ball.</div></li></ol>

A box contains  \((x+2)\) red balls, \((x−1)\) blue balls, and \(5\) green balls, where \(x\) is a positive integer. One ball is picked at random.

Write down an expression, in terms of \(x\), for the total number of balls in the box.

Find an expression, in terms of \(x\), for the probability of picking a red ball.

Given that the probability of picking a blue ball is \(\frac{1}{4}\), find the value of \(x\).

Using your value of \(x\), find the probability of picking a green ball.

Probability

Question 5f662e3c