Respuesta :
Answer:50 %
Step-by-step explanation:
Given
There are 4 girls and 6 boys in a club
Probability of choosing 1 girl and 2 boys is
[tex]=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}[/tex]
No of ways of choosing 1 girl and 2 boys[tex]=^4C_1\times ^6C_2[/tex]
[tex]P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}[/tex]
[tex]P=\dfrac{4\times 15}{10\times 3\times 4}[/tex]
[tex]P=\dfrac{15}{30}=\frac{1}{2}[/tex]
i.e. [tex]50\%[/tex]
The probability that one girl and two boys will be chosen from the Spanish club is 50%.
What is the probability?
Probability is used to determine the odds that an event would happen. If the event would happen with certainty, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.
The probability = number of ways of choosing 1 girl and two boys / number of ways of choosing 3 people
(4x15) / (10 x 3 x 4) = 15/30 = 1/2 = 50%
To learn more about probability, please check: https://brainly.com/question/13234031
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