From a class of girls and boys, the probability that one student chosen at random to answer a question will be a girl is \(\frac{1}{3}\). If four boys leave the class, the probability that a student chosen at random to answer a question will be a girl is \(\frac{2}{5}\). How many boys and girls are there in the class before the four boys leave?

let the no. of girls be x and boys be y...... x/y=1/3 =>3x=y ...............(I) now 4 boys leave the class is then x/y-4=2/5 =>5x=2y-8 (I)=>5x=2(3x)-8 x=8 now 3x=y =>y=24 therefore no. of girls is 8 and the no. of boy is 24.............. I have tried my best.....hope i helped............

Answered by shreyashi | 2024-06-10

Answer:
no
Step-by-step explanation:

Answered by sabrinavasquez2101 | 2024-06-12

In the class, there are 8 girls and 24 boys before any boys leave. This was determined by establishing the probability ratios before and after the boys left and solving the resulting equations. We find that the conditions fit perfectly with the probabilities provided.
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Answered by shreyashi | 2024-12-20