Question

A die is thrown twice. the probability that at least one of the two throws comes up with the number 3 is:

Answer 1

DICE is thrown twice. total possibilities= 36

we want at least one 5 i.e we can have one of the dice showing 5 or both dice showing 5.

both dice showing - there is only one way i.e.(5,5)

let first die shows 5 then the second die can take 1 or 2 or 3 or 4 or 6 in five ways

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

now suppose second die shows 5 then the first die can take 1 or 2 or 3 or 4 or 6 in five ways namely  (1,5)  (2,5)  (3,5)  (4,5)  (6,5)

so total desired possibility is 1+5+5=11

so prob is 11/36

Answer 2

Answer:

Total possibility is 11/36