Question

1 two urns contain white balls and yellow balls. the first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls. a ball is drawn at random from each urn. what is the probability that both balls are white?
options:
$\frac{1}{6}$
$\frac{10}{23}$
$\frac{1}{21}$
$\frac{5}{63}$

Explanation:

Step1: Calcular total bolas urna 1

Total bolas 1 = $7 + 7 = 14$

Step2: Probabilidad bola blanca urna 1

$P(W_1) = \frac{7}{14} = \frac{1}{2}$

Step3: Calcular total bolas urna 2

Total bolas 2 = $3 + 6 = 9$

Step4: Probabilidad bola blanca urna 2

$P(W_2) = \frac{3}{9} = \frac{1}{3}$

Step5: Probabilidad ambas blancas

$P(W_1 \cap W_2) = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$

Answer:

$\frac{1}{6}$