Two fair four-sided dice, one red and one green, are thrown. For each die, the faces are labelled 1,

Question

Two fair four-sided dice, one red and one green, are thrown. For each die, the faces are labelled 1, 2, 3, 4. The score for each die is the number which lands face down. Write down the sample space; the probability that two scores of 4 are obtained. Let X be the number of 4s that land face down. Copy and complete the following probability distribution for $X$. Find $E(X)$.

Accepted Answer

For $X$, the distribution is $P(0)=\frac9{16}$, $P(1)=\frac6{16}$, $P(2)=\frac1{16}$. Thus $E(X)=\frac12$.

Enumerate a two-dice sample space, form a distribution and calculate expectation.

Enumerate a two-dice sample space, form a distribution and calculate expectation.

Solution:

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