Final answer:
To find the expected value of flipping two coins, we need to calculate the probability of each possible outcome and multiply it by the corresponding value of that outcome.
Step-by-step explanation:
To find the expected value of flipping two coins, we need to calculate the probability of each possible outcome and multiply it by the corresponding value of that outcome.
The sample space for flipping two fair coins is {HH, HT, TH, TT}. The probability of getting each outcome is 1/4.
The value of each outcome can be represented as follows:
HH: 2
HT: 1
TH: 1
TT: 0
Using these probabilities and values, we can calculate the expected value:
(1/4) * 2 + (1/4) * 1 + (1/4) * 1 + (1/4) * 0 = 1.25
Therefore, the expected value of flipping two coins is 1.25.