# What is the expected value to gain in following game and how much one is expected to win if one plays #100# games?

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In a card game return on getting an ace, other than club, is #$5# but if it is a club he gets extra #$10# and getting a club, other than ace, gets you #$1# .

In a card game return on getting an ace, other than club, is

##### 1 Answer

He is expected to win

in

#### Explanation:

When we have to find expected win or loss, what we have to do is identify probability of the event

If more than one events are there, which are mutually exclusive and their probabilities are

and if their are

Coming to the problem,

probability of getting an ace, other than club, is

probability of getting a club, other than ace, is

probability of getting ace of club is

So for one game (considering

=

and in

Considering

=

and in