Question

2. How many outcome sequences are possible when a die is rolled four times, where we say, for instance, that the outcome is 3, 4, 3, 1 if the first roll landed on 3, the second on 4, the third on 3, and the fourth on 1

Answer 1

Answer: the required number of possible outcomes on the is 1296

Step-by-step explanation:

Given the data in the question;

the possible number of outcomes on a dice is n = 6[ 1, 2, 3, 4, 5, 6 ]

we know that if a dice is rolled for example x number of times,

then the possible outcomes will be N = nˣ

now given outcome are 3, 4, 3, 1

if the dice is rolled 4 times, i.e our x is 4

then the total number of possible outcomes on the dice will be;

N = nˣ

N = 6⁴

N = 1296

Therefore, the required number of possible outcomes on the is 1296