Question

19.4 ( A simulation)

To simulate the toss of a fair coin (the probability of heads and tails are both 0.5) using a table of random digits.

(a) assign the digits 0,1,2,3, and 4 to represent heads and the digits 5,6,7,8,9 to represent tails.

(b) assign the digists 0,2,4,6, and 8 to represent heads and the digits 1,3,5,7, and 9 to represent tails.

(c) assign the digits 0,1,5,8, and 9 to represent heads and the digits 2,3,4,6, and 7 to represent tails.

(d) use any of the above. All are corrcet.

Answer 1

As there are a total of 10 digits, and each of the digit is equally likely to come up, therefore 5 digits should be assigned to each of the two toss faces here - heads and tails.

a) This is correct as Heads has five digits: 0, 1, 2, 3, 4 and then tails have the remaining five.

b) This is also correct, as again there are five digits assigned to heads and remaining five to tails

c) This is again correct because five digits are assigned to heads and rest to tails

Note that in all cases, P(heads ) = P( tails ) = 0.5

Therefore We could use any of the three, all are correct.