a) A six sided dice is unbiased . It is numbered 1,2,3,4,5 and 6 on its faces. The dice is rolled several times until it lands o

Question

KonstantinChe [14]

2 years ago

6

a) A six sided dice is unbiased . It is numbered 1,2,3,4,5 and 6 on its faces. The dice is rolled several times until it lands o

n the number 5. Find the probability that this happens on the fifth roll. Show proper working and explanation).

Mathematics

1 answer:

masha68 [24] · Answer 1 · 2023-07-05T23:38:31+03:00

masha68 [24]2 years ago

6 0

P(not 5) =5/6 and P(5) = 1/6
If the first 5 is rolled on the 5th roll then the first four rolls were not 5
P(5 on fifth roll) = 5/6 x 5/6 x 5/6 x 5/6 x 1/6 = 5^4/6^5 = 625/7776 = 0.080375...