Question

If 40% of boys opted for maths and 60% of girls opted for maths, then what is the probability that maths is chosen if half of the class’s population is girls?

Answer 1

Answer:

0.5

Step-by-step explanation:

Let E be the event of electing boy or a girl and A be the event of selecting a maths student.

P(A) = P(E1) P(A|E1) + P(E2) P(A|E2)

=(1/2)(40/100)+(1/2)(60/100)

= 0.5

Answer 2

Answer:

Probability means event to occur. It is a branch of mathematics that deals with the random of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.

Find :

If 40% of boys opted for maths and 60% of girls opted for maths, then what is the probability that maths is chosen if half of the class’s population is girls?

Given :

If 40% of boys opted for maths and 60% of girls opted for maths, then what is the probability that maths is chosen if half of the class’s population is girls?

Step-by-step explanation:

Many event can't be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it. Probability can range from 0 to 1, which 0 means the event is impossible and 1 indicates a certain events. Probability for class 10 is an important topic for students which explains all the basic concepts of this topic. All events in the sample space have a probability of 1.

Let E be the event of choosing a boy or a girl and let A be the event of choosing a math student

P(A) = P(E1) P(A|E1) + P(E2) P(A|E2)

P (A)=

$( \frac{1}{2} )( \frac{40}{100}) + ( \frac{1}{2} )( \frac{60}{100} )$

P(A) =

$\frac{1}{5} + \frac{3}{10}$

P(A) =

$\frac{2 + 3}{10}$

P(A) =

$\frac{5}{10}$

P(A) = 0.5

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