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In Mathematics / High School | 2014-11-02

In class 6, 80% of the children like crisps.

75% of the children who like crisps also like chocolate.

What percentage of the children in class 6 like both crisps and chocolate?

Asked by MiMiGordon

Answer (3)

80% like crisps 75% of the 80% like chocolate.
What percent of the total are the children who like chocolate and crisps?
75% of 80% = 60%
This 60% of children like chocolate and crisps

Answered by chipperrider | 2024-06-10

60% of the children in class 6 like both crisps and chocolate.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
Let C be the set of children in class 6 who like crisps, and let Ch be the set of children who like chocolate .
P(C) = 80%
= 0.8
P(Ch|C) = 75%
= 0.75
We want to find P(C ∩ Ch), the probability that a child in class 6 likes both crisps and chocolate.
Using the formula for conditional probability, we have:
P(C ∩ Ch) = P(Ch|C).P(C)
Substituting the values we have:
P(C ∩ Ch) = 0.75 × 0.8
= 0.6
Hence, 60% of the children in class 6 like both crisps and chocolate.
To learn more on **probability **click:
https://brainly.com/question/11234923
#SPJ2

Answered by pukhrajvt | 2024-06-17

In class 6, 60% of the children like both crisps and chocolate. This is calculated using the percentage of children who like crisps and the percentage of those who also like chocolate. The answer was found using conditional probability formulas.
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Answered by pukhrajvt | 2024-11-28