Question

Home > My courses > Common Courses > Spring Semester > Undergraduate > Maths > MTH251 > Final exam 6/5/2020 (17:00) > Final exam Question 3 Not yet answered Marked out of 2.00 Flag question We have 3 bowls 1) The first bowl contains 3 red and 2 green balls 2) the second bowl contains 2 red and 1 white balls 3) the third one contains 1 red and 3 green balls One bowl by the random is selected and then 2 balls will be drawn. what is the probability that both of these balls will be red? AB 1 2

Answer 1

Solution:-

Given that

We have 3 bowls,

One bowl by the random is selected and then 2 balls will be drawn.

What is the probability that both of these balls will be red?

P(Bi) = probability of choosing the ith bowl ()

<<3

=

یه

P(R1) = probability of choosing 2 red ball from 1st bowl

  $gif.latex?%3D%5Cfrac%7B%5E3C_2%7D%7B%5E5$

3 10

P(R2) = probability of choosing 2 red ball from 2nd bowl

$gif.latex?%3D%5Cfrac%7B%5E2C_2%7D%7B%5E3$

انه

P(R3) = probability of choosing 2 red ball from 3rd bowl

= 0 as there a's only 1 red ball

so the required probability is

= P(B1) P(R1) + P(B2) P(R2) + P(B3) P(R3)

  

  

Thanks for supporting....

Please give positive rating...