Question

The probability pf selecting a red ball at random from a jar that contains only red blue and orange balls is 1/4.The probability of selecting a blue ball at random from the same jar is 1/3.If the jar contains 10 orange balls, find the total number of balls in the jar​

Answer 1

here ,

the jar has a whole number 1

and 1/4 red balls & 1/3 blue balls

so , firstly

orange will have

$1 - \frac{1}{4} - \frac{1}{3} \\ \frac{12 - 3 - 4}{12} = \frac{5}{12}$

now, we know by this that

5/12 of x number of balls of the jar are 10 orange balls, so,

$\frac{5}{12} \times x = 10 \: balls$

$x = \frac{10 \times 12}{5} = 24 \\ x = 24$

so there are 24 balls in total in the jar