Question

of 2 and 3
7. A bag contains 8 red balls, 17 black balls, and 15 white balls. A ball is drawn at random
from the bag. What is the probability that the ball drawn is:
1) white? (i) red? (iii) black? (iv) not red?​

Answer 1

Answer:

Total no. of balls in the bag is 18 (8 red, 4 black and 6 white)

Solution(i):

No. of red or white balls in bag is 14 (8 red and 6 white)

Therefore, 14C1( Selecting 1 out of 14 items) times out of 18C1( Selecting 1 out of 18 items) a red or white ball is picked.

Let E be the event of drawing a red or white ball from bag

We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=18C114C1=1814=97

Solution(ii):

No. of non-black balls in bag is 14 (8 red and 6 white)

Therefore, 14C1( Selecting 1 out of 14 items) times out of 18C1( Selecting 1 out of 18 items) a non-black ball is picked.

Let E be the event of drawing a non-black ball from bag

We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=18C114C1

Answer 2

Answer:

White 15/40 Red 8/40 Black 17/40 Not red 32/40