Question

in R language

(d) Write a computer program to simulate a fair dice. Generate output. Use the output to make a plot.

Answer 1

Solution :

We know that outcomes of fair dice are equally likely.

Let X be sample space.

X= (1:6)

Hence we use simple random sampling from X to simulate a fair dice.

R code :

X= c(1:6)

#take random sample of size 100 from X.

die= sample(X, size = 100, replace = TRUE)

die

# We plot Histogram using output

hist(die)

Output :

[1] 6 2 4 3 4 1 5 3 4 2 6 5 5 5 5 3 6 2 5 6 3 6 6 5 2 3 2 2 3 2 5 4 2 6 5 4 2

[38] 6 3 2 1 1 3 1 1 2 3 5 2 4 3 6 2 1 2 6 5 5 3 4 3 5 4 6 2 5 4 4 1 6 5 5 5 4

[75] 3 3 4 3 4 1 3 3 6 5 6 2 6 5 4 1 1 1 3 4 1 2 4 1 2 5

Plot :