Respuesta :
Answer:
6+5/18
Step-by-step explanation:
the probability that both are blue;
4/9 × 3/8 = 6
the probability that only one is blue;
4/9 × 5/8 = 5/18
6 + 5/18
Probability is a branch of mathematics that deals with the occurrence of a random event.
The probability that at least one of the two counter is blue is [tex]\frac{4}{9}[/tex]
Probability of event to happen is calculated by using below formula,
P(E) = Number of favourable outcomes / Total Number of outcomes.
Since, Bag contains 9 counters 4 of the counter are blue .
Probability of the both counter is blue,
[tex]=\frac{4}{9}*\frac{3}{8}=\frac{1}{6}[/tex]
Probability of only one is blue is,
[tex]\frac{4}{9}*\frac{5}{8}=\frac{5}{18}[/tex]
Thus, the probability that at least one of the two counter is blue is,
[tex]\frac{1}{6}+\frac{5}{18}=\frac{3+5}{18}=\frac{8}{18}\\\\P=\frac{8}{18}=\frac{4}{9}[/tex]
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