A box contains $(x+2)$ red balls, $(x−1)$ blue balls, and $5$ green balls, where $x$ is

Question

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.

Accepted Answer

(a) $2x+6$; (b) $(x+2)/(2x+6)$; (c) $x=5$; (d) $5/16$.

Probability - Probability of a Single Event

Probability - Probability of a Single Event

Solution:

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