In a coin tossing game, in each turn, the player tosses two coins into the air. He/she wins TT points for each number of heads he/she gets. However, he/she loses BB points for each number of tails. Calculate the expected value (mean) and variance (of points) for a turn of the game (when tossing two coins)? (Hint: what are all the possible events in terms of heads or tails when tossing two coins?) (Please check the second letter of your surname.)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Second letter of my surname is "E".
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