A box contains $\left( 6y+2 \right)$ red balls, $\left( 50-2y \right)$ blue balls and $3y$ yel

Question

A box contains $\left( 6y+2 \right)$ red balls, $\left( 50-2y \right)$ blue balls and $3y$ yellow balls. Find an expression, in terms of $y$, for the total number of balls in the box. A ball is drawn at random from the box. Write down an expression, in terms of $y$, for the probability that the ball is red. It is known that the probability when a red ball is drawn is $\frac{13}{40}$, find the value of $y$.

Accepted Answer

(i) $7y+52$ (ii) $\frac{6y+2}{7y+52}$ (iii) $y=4$

Balls in a Box: Variable-Based Probability

Balls in a Box: Variable-Based Probability

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