Question

Hal has 20 pieces of candy in a bag: 12 mint sticks, 5 jelly treats, and 3 fruit tart chews. If he eats one piece every 8 minutes, what is the probability his first two pieces will both be mint sticks?

Answer 1

Use the AND operation so 12/20 x 11/19 total candies will be reduced to 19 for 2nd mint bcz he is not replacing them if first was mint then chances of second being mint is 11 so 132/380 which can be further simplified

Answer 2

Answer:
`(33)/(95)`

Explanation:

Given : Number of pieces of candy in the bag =20

Number of pieces of mint sticks =12

If he eats one piece every 8 minutes, then the number of ways that he eats mint sticks =
`12*11=132`

The total number of ways that he eats any two pieces of candies=
`20*19=380`

Now, the probability his first two pieces will both be mint sticks :-

`(132)/(380)=(33)/(95)`

Hence, the probability his first two pieces will both be mint sticks =
`(33)/(95)`