Question

A bag contains 8 red ball and some ble balls .If one ball is drawn randomly the probability of drawing a red red ball to a blue ball are in the ratio 5:2 , determine the probability of drawing a blue ball from the bag.​

Answer 1

Answer:

Fundamentals of Mathematical Statistics is a comprehensive book for undergraduate mathematicians. The book discusses the basics of statistics, discussing topics such as average, arithmetic mean, median, probability and types of distributions. ... The book is a must have for all GATE aspirants writing the mathematics paper.

Answer 2

Let us assume that, there are x blue balls in the bag.

so,

$\rightarrow \sf {Total \: balls \: in \: bag = (8 + x)}$

Then,

$\sf{Prob. \: of \: drawing \: a \: red \: ball = \frac{8}{8 + x}}$

and,

$\sf \: {Prob. \: of \: drawing \: a \: red \: ball = \frac{x}{8 + x} }$

A/q,

$: \implies \frac{ \frac{8}{8 + x} }{\frac{x}{8 + x} } = \frac{5}{2}$

$: \implies \frac{8}{x} = \frac{5}{2}$

$: \implies{x = \frac{16}{5} }$

Therefore,

The probability of drawing a blue ball from the bag = (16/5) / (16/5 + 8)

= (16/5) / (56/5)

= (16/56)

= (2/7)