COMEDK · Maths · 36. Probability
A teacher has two jars of candy on her desk:
Jar 1: Contains 3 Strawberry candies and 2 Orange candies.
Jar 2: Contains 1 Strawberry candy and 4 Orange candies.
The teacher randomly picks two candies from Jar 1 and drops them into Jar 2. Then, a student reaches into Jar 2 and picks two candies. What is the probability that the student picks two Strawberry candies?
- A \(\dfrac{4}{21}\)
- B \(\dfrac{6}{35}\)
- C \(\dfrac{3}{70}\)
- D \(\dfrac{1}{14}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{1}{14}\)
Step-by-step Solution
Detailed explanation
Let \(E_1\) be the event that \(2\) Strawberry candies are transferred from Jar 1 to Jar 2. Let \(E_2\) be the event that \(1\) Strawberry and \(1\) Orange candy are transferred. Let \(E_3\) be the event that \(2\) Orange candies are transferred. Let \(A\) be the event that the…
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