Question

If 5 dice are rolled simultaneously, what are the odds in favour of getting a prime number on each of the 5 faces?

Answer 1

5 dice means = (6 )^5 outcomes

Answer 2

Answer:

Odds in favour of getting a prime number on each of the 5 faces = $\frac{1}{32}$

Step-by-step explanation:

Total number of outcomes when 5 dice are rolled simultaneously = $6^5\:=\:7776$

1 , 2 , 3 , 4 , 5 , 6 are the no on dice.

Among them there are 3 prime numbers .i.e., 2 , 3 , 5

⇒ No of outcome wen all faces show a prime no. = 3 × 3 × 3 × 3 × 3 = 243

Therefore, Odds in favour of getting a prime number on each of the 5 faces = $\frac{243}{7776}\:=\:\frac{1}{32}$