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

Step-by-step 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,

$P(B\cap E)=\frac{1}{2}$

And,  The probability of selecting a black chip is,

$P(B)=\frac{3}{5}$

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

$P(\frac{E}{B} )= \frac{P(B\cap E)}{P(B)} = \frac{1/2}{3/5}$ ( By the conditional property )

⇒ $P(\frac{E}{B} )= \frac{5}{6}$