Check sibling questions
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

A refrigerator box contains 2 milk chocolates and 4 dark chocolates. Two chocolates are drawn at random. Find the probability distribution of the number of milk chocolates. What is the most likely outcome?

 

A refrigerator box contains 2 milk chocolates and 4 dark chocolates

Question 28 (Choice 1) - CBSE Class 12 Sample Paper for 2021 Boards - Part 2
Question 28 (Choice 1) - CBSE Class 12 Sample Paper for 2021 Boards - Part 3

This video is only available for Teachoo black users

Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month


Transcript

Question 28 (Choice 1) A refrigerator box contains 2 milk chocolates and 4 dark chocolates. Two chocolates are drawn at random. Find the probability distribution of the number of milk chocolates. What is the most likely outcome? Let X: Number of Milk Chocolates Since there are 2 Milk Chocolates We can get 0, 1, 2 Milk Chocolates So, value of X can be 0, 1, 2 Probability of 0 Milk Chocolate (X = 0) So, we select 2 chocolates, and none are milk chocolates Probability (X = 0) = 4/6 × 3/5 = 𝟏𝟐/𝟑𝟎 Probability of 1 Milk Chocolate (X = 1) So, we select 2 chocolates, and 1 is milk chocolates Probability (X = 1) = 2/6 × 4/5 + 4/5 × 2/6 = 2 × 8/30 = 𝟏𝟔/𝟑𝟎 Probability of 2 Milk Chocolate (X = 2) So, we select 2 chocolates, and both are milk chocolates Probability (X = 2) = 2/6 × 1/5 + 2/6 × 1/5 = 2 × 2/30 = 𝟒/𝟑𝟎 So, our distribution looks like Thus, getting 1 milk chocolate is the most likely outcome

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.