Find the probabil

Let X denote the number of white balls drawn in a random draw of 3 balls.

∴ X can take values 0,1,2 or 3.

Since bag contains 6 red and 4 white ball, i.e. at a total of 10 balls

∴ total no. of ways of selecting 3 balls out of 10 = 10C₃

For selecting 0 white balls, we will select all 3 balls from red

∴ P(X = 0) = P (not selecting any white ball) =

For selecting 1 white ball, we will select all 2 balls from red and 1 from white

∴ P(X = 1) =

For selecting 2 white balls, we will select all 1 ball from red and 2 from white

∴ P(X = 1) =

For selecting 3 white balls, we will select all 0 balls from red and 2 from white

∴ P(X = 1) =

Now we have p_i and x_i.

∴ Now we are ready to write the probability distribution for X:-

The following table gives probability distribution: