Question

What is the probability of rolling a four then a three

Answer 1

`(1)/(36)`

Explanation:

Total possibilities when we a roll a die at a time are 6

given we should have four for first time and then three

let us assume we rolled the dice we may get 1,2,3,4,5,6(any of these) the probability to get 4 is

PROBABILITY=
`\frac{\textrm{FAVOURABLE CHANCES}}{\textrm{TOTAL CHANCES}}`

Favourable chances=1

Total chances=6

Probability=
`(1)/(6)`

the prabability to get 4 in first roll is
`(1)/(6)`.

let us assume we rolled the dice for second time again we may get 1,2,3,4,5,6(any of these) the probability to get 3 is

Favourable chances=1

total chances=6

probability=
`(1)/(6)`

the probability to get 3 in second roll irrespective of first one is
`(1)/(6)`

the probability to get 4 in first time and then 3 is

The probability to occur both events at a time is multiplication of individual probabilities

So,

probablility to get 4 in first roll=
`(1)/(6)`

probability to get 3 in second roll=
`(1)/(6)`

probability to occur both at a same time is =
`(1)/(6)`
`*`
`(1)/(6)`=
`(1)/(36)`