Given : Let X denote the number of times ‘a total of 9’ appears in two throws of a pair of dice
To find : probability distribution of X ,mean (μ) and variance (σ2) and standard deviation
Formula used :


When a die is tossed twice,
Total possible outcomes =

Let X denote the number of times ‘a total of 9’ appears in two throws of a pair of dice

Two dice are tossed twice, hence n = 2

The probability distribution table is as follows,


The probability distribution table is as follows,

Mean = \(\frac{2}{9}\)
Variance = \(\frac{16}{81}\)
Standard deviation = \(\frac{4}{9}\)