Question

Вступительный экзамен в лицей состоит из трех туров. Вероятность отсева в 1 туре составляет 60%, во втором - 40%, в третьем – 30%. Какова вероятность поступления в лицей?

Answer 1

Cложим все проценты (60+40+30)=130
Далее 130/3=43,3

Answer 2

Probability of Admission to the Lyceum

The probability of admission to the lyceum can be calculated by finding the complement of the probability of being eliminated in all three rounds.

Given Probabilities: - Probability of elimination in 1st round (E1) = 60% - Probability of elimination in 2nd round (E2) = 40% - Probability of elimination in 3rd round (E3) = 30%

Calculation

The probability of admission (A) can be calculated using the complement rule:

P(A) = 1 - P(E1) * P(E2) * P(E3)

Substituting the given probabilities:

P(A) = 1 - 0.60 * 0.40 * 0.30

Result

Calculating the above expression gives the probability of admission to the lyceum.

P(A) = 1 - 0.60 * 0.40 * 0.30 = 1 - 0.072 = 0.928

Therefore, the probability of admission to the lyceum is 92.8%.