Mr. Lance keeps a jar of candy on his desk for students to pick from when they do well on a test. The jar contains 5 Snickers, 2 Butterfingers, 4 Almond Joys and 3 Milky Ways. If two students get to pick candy from the jar, what is the probability that the first student picks a Snickers and then the second student also picks a Snickers?

Verified Answer :

3/14 for the first kid and 2/13 for the 2nd kid

Answer: \(\dfrac{10}{91}\)

Step-by-step explanation:

Given : The jar contains 5 Snickers, 2 Butterfingers, 4 Almond Joys and 3 Milky Ways.

Total candies in the jar =\(5+2+4+3=14\)

Provability that firsts student select snickers =\(\dfrac{5}{14}\)

Now total candies in jar = 14-1=13

Total snickers remained =5-1=4

Probability that the second student also select snickers=\(\dfrac{4}{13}\)

Then, the probability that the first student picks a Snickers and then the second student also picks a Snickers :-

\(\dfrac{5}{14}\times\dfrac{4}{13}=\dfrac{20}{182}=\dfrac{10}{91}\)

Hence, the required probability = \(\dfrac{10}{91}\)