Question

there are two boxes. in the first box there are 7 cards numbered from 1 tp 7 the second box also contains 7 cards from 1-7 pick one card from each box. find the probability that the sum of the two two cards is at least 12

Answer 1

`(6)/(49)`

Explanation:

GIVEN: There are two boxes. in the first box there are
`7` cards numbered from
`1` to
`7` the second box also contains
`7` cards from
`1-7` pick one card from each box.

TO FIND: probability that the sum of the two two cards is at least
`12`.

SOLUTION:

sample case such that sum of cards is
`12` :
`(5,7),(7,5),(6,6)`

sample case such that sum of cards is
`13` :
`(7,6),(6,7)`

sample case such that sum of cards is
`14` :
`(7,7)`

Total sample case such that sum is atleast
`12`
`=6`

Total sample cases
`=49`

probability that the sum of the two two cards is at least
`12`
`=\frac{\text{sample case in which sum is atleast 12}}{\text{total sample cases}}`

`=(6)/(49)`

probability that the sum of the two two cards is at least
`12` is
`(6)/(49)`