Question

one fair die is rolled towice find the probilty of an event in which the upper face come 4 at least once​

Answer 1

Answer:

one fair die is rolled twice

Sample Space

S = { (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(61,),(6,2),(6,3),(6,4),6,5),(6,6) }

n(S) = 36

let A be the event in which the upper face come 4 at least once

A = { (1,4),(2,4),(3,4),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,4),(6,4) }

n(A)= 11

probabilty of an event A in which the upper face come 4 at least once

P(A)=n(A)/n(S)

= 11 /36

probabilty of an event in which the upper face come 4 at least once is 11 / 36