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There are 644 boys and 520 girls in a school. The probability that a boy is chosen at random studies French is 3/7. The probability that a girl is chosen at random studies French is 5/8.
a) Work out the number of students in the school who study french
b) What is the probability, as a fraction, that a student chosen at random from the whole school does NOT study French

Respuesta :

Answer:

a. 601

b.

[tex]\frac{563}{1164}[/tex]

Step-by-step explanation:

a. The number of students in the school who study french:

The number of boys who study french + The number of girls who study french:

= (3÷7)×644+(5÷8)×520

= 601

b. the probability that a student does NOT study French :

= P(boy does not study french) + P(girl does not study french)

[tex]=(\frac{644}{1164} ) (1-\frac{3}{7} )+(\frac{520}{1164} )(1-\frac{5}{8} )\\\\= \frac{563}{1164}[/tex]

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