Answer:
The expected value = -1.4 Dollars
Explanation:
The number of red marbles = 10
The number of red purple = 6
The number of red turquoise = 4
The total number of marbles in the jar = 10 + 6 + 4 = 20 marbles
The prize won for pulling a red marble = 0
The prize won for pulling a purple marble = $2
The prize won for pulling a turquoise marble = $5
The probability of pulling a red marble = 10/20 = 1/2
The probability of pulling a purple marble = 6/20 = 3/10
The probability of pulling a turquoise marble = 4/20 = 1/5
Expected value, EV, probability is the foreseen or bankable future value value for a current investment. The expected value is found by finding the product of each outcome and the probability of occurrence of the outcome and then adding the values of the products together
To find the expected value, EV sum the prizes won multiplied by the probability of winning that prize and then subtract the cost of playing the game.
Therefore;
EV = 1/2×0 + 3/10×2 + 1/5 × 5 -3 = -1.4
The expected value = $(-1.4).