9-41. Thu has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replaced before the next marble is drawn, what is the probability that she will draw.4. A red marble?b. A red or a green marble?An orange marble?
Question
9-41. Thu has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replaced before the next marble is drawn, what is the probability that she will draw.4. A red marble?b. A red or a green marble?An orange marble?
Solution
Claro, vamos a resolver el problema paso a paso.
Primero, determinemos el total de canicas en la bolsa:
- Canicas verdes: 7
- Canicas azules: 5
- Canicas rojas: 4
Total de canicas = 7 + 5 + 4 = 16
a. Probabilidad de sacar una canica roja: Número de canicas rojas = 4 Probabilidad de sacar una canica roja = Número de canicas rojas / Total de canicas = 4 / 16 = 1 / 4 = 0.25
b. Probabilidad de sacar una canica roja o verde: Número de canicas rojas = 4 Número de canicas verdes = 7 Número total de canicas rojas o verdes = 4 + 7 = 11 Probabilidad de sacar una canica roja o verde = Número de canicas rojas o verdes / Total de canicas = 11 / 16
c. Probabilidad de sacar una canica naranja: Número de canicas naranjas = 0 (no hay canicas naranjas en la bolsa) Probabilidad de sacar una canica naranja = Número de canicas naranjas / Total de canicas = 0 / 16 = 0
Resumiendo: a. La probabilidad de sacar una canica roja es 0.25. b. La probabilidad de sacar una canica roja o verde es 11 / 16. c. La probabilidad de sacar una canica naranja es 0.
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