Answer:
- 4/3
Step-by-step explanation:
Given that:
Amount paid to bet = $3
Net winning if 4 or 1 is rolled = $(5 - 3) = $2
If otherwise = loss of $3 (amount paid to play)
Probability of getting a winning :
P( 1 or 4) :
Probability = required outcome / Total possible outcomes
Winning:
Sample space = (1, 2, 3, 4, 5, 6)
P(1 or 4) = 1/6 + 1/6 = 2/6 = 1/3
Losing:
1 - P(winning) = 1 - 1/3 = 2/3
Hence,
The expected Probability :
X = 2, - 3
P(x) = 1/3, 2/3
Σ(x * p(x)) = 2(1/3) + (-3)(2/3)
= 2/3 - 6/3
= 2/3 - 2
= - 4/3
