Question

A die is thrown twice fong the probability that 5 will come up at least once

Answer 1

Hello...

A die is thrown twice

So the sample space will be :

(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)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

so, n(S) = 36

Event : 5 will come at least once

(1,5) (2,5) (3,5) (4,5) (5,5) (6,5) (5,1) (5,2) (5,3) (5,4) (5,6)

n= 11

Therefore the probability will be =

$\frac{11}{36}$

Thank you