Question

in a class of 35 students, 28 bring junk food. what is the probability that a student selected at random would have brought healthy snacks?​

Answer 1

Concept:

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty, broadly speaking.

Given:

In a class of 35 students, 28 bring junk food.

To find:

The probability that a student selected at random would have brought healthy snacks.

Solution:

The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

In a class of 35 students, 28 bring junk food.

So, the total  number of students=

N(S)= 35

Students who do not bring junk food=

35-28=7

So, the number of students who bring healthily snacks=

N(E)= 7

We know that probability=N(E)/N(S)

∴ Probability of students who bring healthily snacks=

$P(E)=\frac{N(E)}{N(S)} \\P(E)=\frac{7}{35} \\P(E)=\frac{1}{5}$

Hence, the Probability of students who bring healthy snacks is 1/5.

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