at a hot air balloon festival, brad made note of how many passengers were in each balloon and whether the…
at a hot air balloon festival, brad made note of how many passengers were in each balloon and whether the balloon was a single color or multicolored.\nsingle color multicolored\n1 passenger 13 6\n2 passengers 14 14\n3 passengers 5 17\n4 passengers 5 3\nwhat is the probability that a randomly selected hot air balloon contains 2 passengers given that the hot air balloon is multicolored?\nsimplify any fractions.
Answer
Explanation:
Paso 1: Calcular el número total de globos multicolores
Sumamos los valores de la columna "Multicolored": $6 + 14+17 + 3=40$.
Paso 2: Identificar el número de globos multicolores con 2 pasajeros
El número de globos multicolores con 2 pasajeros es 14.
Paso 3: Calcular la probabilidad condicional
La fórmula para la probabilidad condicional $P(A|B)=\frac{P(A\cap B)}{P(B)}$. En este caso, la probabilidad de que un globo tenga 2 pasajeros dado que es multicolor se calcula como $\frac{\text{número de globos multicolores con 2 pasajeros}}{\text{número total de globos multicolores}}=\frac{14}{40}=\frac{7}{20}$.
Respuesta:
$\frac{7}{20}$