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?

 

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  1. Class 12
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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

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.