Question

There are 60 balls in a box. Some are white and other black.Probability of getting a white ball is 3/2 of getting a black ball. How many of each coloured balls are there?

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Answer 1

Answer:

white colour balls=24

black colour balls=36

step by step explanation:

probability of getting a white ball

=3/2(getting black ball)

if LHS is X

then RHS will be 3X/2

these two events are divergent each other..if one event possible there is no chance to second.

Hence

X+3X/2=1

5X=2

X=2/5

Probability of getting white is 2/5(12/12)=24/60

24 chances are getting white means there are 24 white balls

60-24=36 are black balls.

Answer 2

Answer:

24 white and 36 black

Step-by-step explanation:

white colour balls=24

black colour balls=36

step by step explanation:

probability of getting a white ball

=3/2(getting black ball)

if LHS is X

then RHS will be 3X/2

these two events are divergent each other..if one event possible there is no chance to second.

Hence

X+3X/2=1

5X=2

X=2/5

Probability of getting white is 2/5(12/12)=24/60

24 chances are getting white means there are 24 white balls

60-24=36 are black balls.