Question

. Lottery balls are numbered and coloured balls. In the famous Lotto, six numbered balls are
drawn at random from 49 balls. In each ticket one needs to guess the six numbers that
would be drawn. If no correct guesses are received the prize money is carried to the next
draw. It is not uncommon to see prize money accumulating to several millions of dollars. An
urn contains m white and n black balls. A ball is drawn at random and is put back into the
urn along with k additional balls of the same colour as that of the ball drawn. A ball is again
drawn at random. The probability of drawing a white ball now:
a) Does not depend on k
b) Increases with k
c) Decreases with k
d) Cannot be determined without additional information. Lottery balls are numbered and coloured balls. In the famous Lotto, six numbered balls are
drawn at random from 49 balls. In each ticket one needs to guess the six numbers that
would be drawn. If no correct guesses are received the prize money is carried to the next
draw. It is not uncommon to see prize money accumulating to several millions of dollars. An
urn contains m white and n black balls. A ball is drawn at random and is put back into the
urn along with k additional balls of the same colour as that of the ball drawn. A ball is again
drawn at random. The probability of drawing a white ball now:
a) Does not depend on k
b) Increases with k
c) Decreases with k
d) Cannot be determined without additional information; . Lottery balls are numbered and coloured balls. In the famous Lotto, six numbered balls are; drawn at random from 49 balls. In each ticket one needs to guess the six numbers that; would be drawn. If no correct guesses are received the prize money is carried to the next; draw. It is not uncommon to see prize money accumulating to several millions of dollars. An; urn contains m white and n black balls. A ball is drawn at random and is put back into the; urn along with k additional balls of the same colour as that of the ball drawn. A ball is again; drawn at random. The probability of drawing a white ball now:; a) Does not depend on k; b) Increases with k; c) Decreases with k; d) Cannot be determined without additional information. Lottery balls are numbered and coloured balls. In the famous Lotto, six numbered balls are; drawn at random from 49 balls. In each ticket one needs to guess the six numbers that; would be drawn. If no correct guesses are received the prize money is carried to the next; draw. It is not uncommon to see prize money accumulating to several millions of dollars. An; urn contains m white and n black balls. A ball is drawn at random and is put back into the; urn along with k additional balls of the same colour as that of the ball drawn. A ball is again; drawn at random. The probability of drawing a white ball now:; a) Does not depend on k; b) Increases with k; c) Decreases with k; d) Cannot be determined without additional information

Answer 1

Answer:

a)

Step-by-step explanation:

This is because k is a constant hence when m balls are drawn from a total of (m+n) the number of white balls drawn over the total is joined by the constant number of balls when put back in the urn. However, the balls picked are replaced back in the urn hence not affected.