@dtzoneva,
dtzoneva wrote:
1. A player tosses two coins, betting 50 cent. He wins 20 cent for each fallen head. What is the expected winnings in a single toss? What should be the amount of winnings in order the game to be fair (not possible tendency for the player to win or lose)?
If you toss two fair coins, the chance of getting a heads on one of them is 75%. This means if you bet four times (betting $2), you should win three of them and lose one. Three wins = $2 in a perfectly fair world, so if you win you should get your original 50 cents plus 17 additional cents.
dtzoneva wrote:
2. Two groups, A and B wrote an exam. There are 60 students in group A and 70 students in group B. The probability of A students’ pass is 0.3 and the probability of B students' pass is 0.5. What is the expected number of students who will take the exam? What is the probability that only one student to pass the exam?
I'm not sure what you are asking here. Are you asking the number of students expected to
pass the exam?
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