Loading in 5 sec....

AP Statistics Section 6.2C Independent Events & The Multiplication RulePowerPoint Presentation

AP Statistics Section 6.2C Independent Events & The Multiplication Rule

- 95 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' AP Statistics Section 6.2C Independent Events & The Multiplication Rule' - destiny-wilcox

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

AP Statistics Section 6.2CIndependent Events & The Multiplication Rule

Consider a standard deck of 52 playing cards. If one card is chosen at random, what is the probability the card is red?

If the first card is red and a second card is chosen at random from the same deck, the probability that this card is also red will depend upon what was done with the first card.

If the first card was returned to the random from the same deck, the probability that this card is also red will depend upon what was done with the first card.deck, the probability the second card is red will be…

If the first card was random from the same deck, the probability that this card is also red will depend upon what was done with the first card.not returned to the deck, the probability the second card is red will be…

In the first case, knowing that the first card pulled from the deck was red did not affect the probability that the second card was red.

This is not true, however, in the second case. the deck was red

In the second case, knowing that the first card pulled from the deck was red affected the probability that the second card was red.

Two events are the deck was red independentif knowing that the one occurs does not affect the probability that the other one occurs.

Example: Determine if the two events A and B are independent.

independent

Example: Determine if the two events A and B are independent.

dependent

Example: Determine if the two events A and B are independent.

dependent

Example: Are an event A and A independentc independent? Why are why not?Note:

Disjoint events are not independent.

Consider rolling a 6-sided die and then flipping a coin. What is the probability of rolling a 3 and getting a heads on the coin?

Multiplication Rule for What is the probability of rolling a 3 and getting a heads on the coinIndependent Events: If A and B are independent, then___________________

Example: Find the following probabilities What is the probability of rolling a 3 and getting a heads on the coin.a. selecting 4 cards with replacement from a standard deck and having all 4 be clubs

Example: Find the following probabilities What is the probability of rolling a 3 and getting a heads on the coin.b. rolling five 6-sided dice and getting five twos

Example: Find the following probabilities What is the probability of rolling a 3 and getting a heads on the coin.c. selecting 4 cards with replacement from a standard deck and getting at least one club

Example: Find the following probabilities What is the probability of rolling a 3 and getting a heads on the coin.d. rolling five 6-sided dice and getting at least one two

Download Presentation

Connecting to Server..