Question

A certain betting game involves dealing players two cards each from a standard deck and observing...

A certain betting game involves dealing players two cards each from a standard deck and observing how many kings each player has. In a two-card draw, the probability of two kings is 0.0045, the probability of one is 0.1448, and the probability of none is 0.8507.

Let X be the number of kings in a two card draw. To four decimal places, the mean of X is?

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Answer #1

The probability mass function of X is given by:

x            p                xp

2          0.0045         0.0090

1           0.1448         0.1448

0          0.8507            0

--------------------------------------

Total                     0.1538

So,

The mean of X = 0.1538.

So,

Answer is:

0.1538

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