A box contains 2 white balls 3 black balls

Asked by admin @ 12/08/2021 in Computer Science viewed by 361 People

A box contains 2 white, 3 black and 5 red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?

a.29
b.36
c.48
d.85

Answered by admin @ 12/08/2021

Given:

Number of white balls in the box = 2

Number of black balls in the box = 3

Number of red balls in the boc = 5

To find:

Number of ways in which 3 balls can be drawn from the box if at least one black ball is to be included in the draw.

Solution:

If at least one black ball is to be included in the draw then there woule 3 possibilities:

Exactly one black and 2 non-black balls = 3C1 × 7C2
Exactly 2 black and 1 non-black balls = 3C2 × 7C1
Exactly 3 black and 0 non-black balls = 3C3 × 7C0

Hence the total number of possibilities will be:

3C1 × 7C2 + 3C2 × 7C1 + 3C3 × 7C0

= 85

Thus the correct option is D i.e. 85.

A box contains 5 white and 7 black balls

Asked by admin @ 20/08/2021 in Math viewed by 278 persons

A box contains 5 white and 7 black balls. two successive drawn of 3 balls are made (i) with replacement (ii) without replacement . the probability that the first draw …

A bag contains 5 white and 7 black balls

Asked by admin @ 23/08/2021 in Math viewed by 336 persons

33. A bag contains 5 white and 7 black balls. Another bag contains 7 white and 8 black balls. A ball is taken at random from the first bag and …

A bag contains 6 white and 4 black balls

Asked by admin @ 12/08/2021 in Math viewed by 292 persons

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour, is

A bag contains 6 black and 8 white balls

Asked by admin @ 11/08/2021 in Math viewed by 382 persons

A bag contains 6 black and 8 white balls one ball is drawn at random what is the probability that the ball drawn is white

A box contains 4 red balls and 6 black balls

Asked by admin @ 04/08/2021 in Math viewed by 370 persons

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains …

A bag contains white black and red balls only

Asked by admin @ 13/08/2021 in Math viewed by 306 persons

A bag contains white, black and red balls only. A ball is drawn at random from the bag. If the probability of getting a white ball is 3/10 and that …

A bag contains 4 red and 3 black balls

Asked by admin @ 17/08/2021 in Math viewed by 309 persons

A bag contains 4 red and 3 black balls .a second bag contains 2 red and 3 black balls. one bag is selected at random.if from the selected bag one …

A bag contains 3 red and 7 black balls

Asked by admin @ 17/08/2021 in Math viewed by 296 persons

A bag contains 3 red and 7 black balls. Two balls are selected at random with replacement. If second selected is given to be red, what is the probability that …

An urn contains 5 red and 2 black balls

Asked by admin @ 20/08/2021 in Math viewed by 261 persons

an urn contain 5 red and 2 black balls , two balls are randomly drawn without replacement . let x represent number of black ball draw .what are the possible …

An urn contains 3 white and 6 red balls

Asked by admin @ 23/08/2021 in Physics viewed by 337 persons

An urn contains 3 white and 6 red balls. Four balls are drawn one by one with replacement from the urn. Find the probability distribution of the number of red …

An urn contains 7 white balls and 3 red balls

Asked by admin @ 06/08/2021 in Math viewed by 366 persons

an urn contains 7 white balls and 3 red balls. two balls are drawn together at random from this urn. compute probability that neither of them is white. hence compute …

A box contains 10 balls numbered 1 through 10

Asked by admin @ 16/08/2021 in Math viewed by 346 persons

A box contains 10 balls numbered 1 through 10. Anuj, Anisha and Amit pick a ball each, one after the other, each time replacing the ball. What is the probability …

A box contains 50 balls numbered from 1 to 50

Asked by admin @ 04/08/2021 in Math viewed by 341 persons

a bag contains 50 balls numbered from 1 to 50 . One ball is drawn at random find the probability that the number of the drawn ball is a multiple …

A box contains 4 red pencils and 6 black pencils

Asked by maham237 @ 23/07/2021 in Mathematics viewed by 302 persons

What fraction of the pencils are red write two equivalent fractions

A box contains 6 red balls 7 green balls

Asked by admin @ 13/08/2021 in Math viewed by 375 persons

A box contains 6 red balls, 7 green balls and 5 blue balls. each ball is of a different size. the probability that the red ball being selected is the …