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In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the opposite gender?

Respuesta :

creamcheesebun

number of different pairs the teacher can choose= nCr (18+14, 2)=496

no. of opposite gender pairs possible= 14 (since there are only 14 boys)

probability = 14/496= 7/248

fichoh

The probability of selecting two students of opposite gender is 0.508

Total number of students in class :

  • Number of boys + Number of girls
  • 18 + 14 = 32 students
  • P(B) = Probability of Boy
  • P(G) = Probability of Girl

Probability of picking opposite gender can be defined thus :

Sampling is done without replacement :

  • P(BG) + P(GB)

Probability of BG :

  • (14/32) + (18/31) = 0.2540

Probability of GB :

  • (18/32) + (14/31) = 0.508

P(GB) + P(BG) = 0.2540 × 0.2540 = 0.508

Therefore, the probability of randomly selecting two students of opposite gender is 0.508

Learn more :https://brainly.com/question/18153040

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