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Next, list or calculate the probability for each outcome. The problem gives most of them directly, but we need to calculate the probability of winning nothing: Probability of Probability of Probability of Probability of To find the probability of winning nothing (losing ), subtract the sum of the winning probabilities from
E(X)=2.20−3.20=-1.00cap E open paren cap X close paren equals 2.20 minus 3.20 equals negative 1.00 ✅ Final Answer fifa-22-pc-game-free-download
E(X)=(95×0.01)+(15×0.05)+(5×0.10)+(0×0.20)+(-5×0.64)cap E open paren cap X close paren equals open paren 95 cross 0.01 close paren plus open paren 15 cross 0.05 close paren plus open paren 5 cross 0.10 close paren plus open paren 0 cross 0.20 close paren plus open paren negative 5 cross 0.64 close paren Next, list or calculate the probability for each outcome
Multiply each net payout by its corresponding probability and add the products together. The expected value formula is P(nothing)=1−(0
To calculate the expected value of your profit or loss from this scratch-off ticket, we need to multiply the net value of each possible outcome by its probability and sum them all together.
P(nothing)=1−(0.01+0.05+0.10+0.20)=1−0.36=0.64cap P open paren nothing close paren equals 1 minus open paren 0.01 plus 0.05 plus 0.10 plus 0.20 close paren equals 1 minus 0.36 equals 0.64 3. Apply the expected value formula
E(X)=0.95+0.75+0.50+0−3.20cap E open paren cap X close paren equals 0.95 plus 0.75 plus 0.50 plus 0 minus 3.20