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- Probability
Probability of independent events
- Intro Lesson: a7:40
- Intro Lesson: b8:56
- Intro Lesson: c8:25
- Lesson: 1a2:14
- Lesson: 1b1:54
- Lesson: 1c1:59
- Lesson: 1d1:12
- Lesson: 2a1:35
- Lesson: 2b1:36
- Lesson: 2c1:41
- Lesson: 2d1:29
- Lesson: 2e1:08
- Lesson: 3a1:17
- Lesson: 3b0:34
- Lesson: 3c1:16
- Lesson: 3d0:59
Probability of independent events
Probability is everywhere in our daily life. Do you know your chances of winning a specific prize in a spinning wheel prize draw? How about the odd to get the same prize two times in a row? By applying the concept of probability of independent events, we can easily answer these questions.
Basic Concepts: Determining probabilities using tree diagrams and tables
Lessons
- Introductiona)Differences between independent events and dependent eventsb)Addition and multiplication rules for probabilityc)Experimental probability VS. Theoretical probability
- 1.A spinner divided in 4 equal sections is spun. Each section of the spinner is labeled 1, 2, 3, and 4. A marble is also drawn from a bag containing 5 marbles: one green, one red, one blue, one black, and one white. Find the probability of:a)Landing on section 2 and getting the green marble.b)Not landing on section 3 and not getting the black marble.c)Landing on section 1 or 4 and getting the red or blue marble.d)Landing on any section and getting the white marble.
- 2.A coin is flipped, a standard six-sided die is rolled; and a spinner with 4 equal sections in different colours is spun (red, green, blue, yellow). What is the probability of:a)Getting the head, and landing on the yellow section?b)Getting the tail, a 6 and landing on the red section?c)Getting the tail, a 2 and not landing on the blue section?d)Not getting the tail; not getting a 3; and not landing on the blue section?e)Not getting the head; not getting a 5; and not landing on the green section?
- 3.A toy vending machine sells 5 types of toys including dolls, cars, bouncy balls, stickers, and trains. The vending machine has the same number of each type of toys, and sells the toys randomly. Don uses a five-region spinner to simulate the situation. The results are shown in the tall chart below:
Doll
Car
Bouncy Ball
Sticker
Train
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a)Find the experimental probability of P(doll).b)Find the theoretical probability of P(doll).c)Compare the experimental probability and theoretical probability of getting a doll. How to improve the accuracy of the experimental probability?d)Calculate the theoretical probability of getting a train 2 times in a row?