Question

39. Biologia
Um casal pretende ter 6 filhos. Determine a proba-
bilidade de ter:
a) 3 meninos e 3 meninas;
b) 4 meninos e 2 meninas.​

Answer 1

Explicação passo-a-passo:

a)

$\sf P=\dbinom{6}{3}\cdot\left(\dfrac{1}{2}\right)^3\cdot\left(\dfrac{1}{2}\right)^3$

$\sf P=20\cdot\dfrac{1}{8}\cdot\dfrac{1}{8}$

$\sf P=\dfrac{20}{64}$

$\sf P=\dfrac{5}{16}$

$\sf P=31,25~\%$

b)

$\sf P=\dbinom{6}{4}\cdot\left(\dfrac{1}{2}\right)^4\cdot\left(\dfrac{1}{2}\right)^2$

$\sf P=15\cdot\dfrac{1}{16}\cdot\dfrac{1}{4}$

$\sf P=\dfrac{15}{64}$

$\sf P=23,4375\%$