Question

PLEAE HELP IM SO CONFUSED!An experiment involves selecting a numbered chip, some black and some white, from a bag of chips. The probability of selecting a black chip with an even number is 12 . The probability of selecting a black chip is 35 . What is the probability of selecting a chip with an even number given that the chip is black?

Answer 1

Answer: The probability of selecting a chip with an even number given that the chip is black = 5/6

Explanation:

Let B represents the event of getting black chip,

While E represents the event of getting even chip.

So, according to the question,

It is given, The probability of selecting a black chip with an even number is,

`P(B\cap E)=(1)/(2)`

And, The probability of selecting a black chip is,

`P(B)=(3)/(5)`

Thus, the probability of selecting a chip with an even number given that the chip is black,

`P((E)/(B) )= (P(B\cap E))/(P(B)) = (1/2)/(3/5)` ( By the conditional property )

⇒
`P((E)/(B) )= (5)/(6)`