A box contains 6 red, 9 white, 3 black and 12 green marbles. A player receives $2 if he draws a red marble, $1.50 if he draws a white marble, $3 if he draws a black marble. The player must pay $4 if he draws a green marble. Let X = amount of money the player receives. Create a probability distribution table for X and find the expected value of this game to the player. (Write probability values in decimals
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(a) Total no. of marbles=3+2+4=9
(1) No. of white marbles=2
∴ probability of getting a white marble=
9
2
(2) No. of blue marbles=3
∴ probability of getting a blue marble=
9
3
=
3
1
(3) No. of red marbles=4
∴ probability of getting a red marble=
9
4
(b)Since, Total no. of balls = 5+8+7=20
(1) No. of balls that are white or green = 8+7=15
∴ probability of getting a white or green ball =
20
15
=
4
3
(2) No. of balls that are neither green nor red =7
∴ probability of getting a ball that are neither green nor red =
20
7
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