Get out your ISN!
You will be able to find P(A and B) for independent and dependent events.
Today’s Objectives:
33-34 Multiplication Rule of
Independent Events—Two events A and B are independent if the fact that A occurs does not change the probability of B occurring.Dependent Events—When the outcome of the first event changes the probability of the second event occurring.Conditional Probability—The probability that event B occurs knowing that event A already occurred; P(B|A)
TOCWWK
Probability
Dependent & Independent EventsDependent OR Independent?You accidently dropped a coin from the top of 10 stairs. What is the probability that it will land on the eighth step, tails up?
.What is your first event? ________________________________________
.Second? ________________________________________
.If the coin does land on the eighth step, does that change the probability that it will land tails up? ______________________________
ANSWER: ________________________
Landing on the 8th step
Tails up
noIndependent
Extra PracticeThere are 3 black cats and 5 grey cats in a cage, and none of them want to be in there. The cage door opens briefly and two cats escape. What is the probability that both escaped cats are black?
Event A =Event B =
THINK: If the first cat to escape is a black cat, does that change the probability that the second will be a black cat?
Black CatBlack Cat
INDEPENDENT? DEPENDENT?
Conditional Probability
Jack AceJackAce
I drew a Jack and now I want to draw an Ace. How many Aces and cards are left in the deck?
¿𝒐𝒇 𝒂𝒄𝒆𝒔¿𝒐𝒇 𝒄𝒂𝒓𝒅𝒔𝒊𝒏𝒅𝒆𝒄𝒌
=𝟒𝟓𝟏
Conditional Probability
7 >4>4 7
I drew a 7 and now I want to draw a number >4. Howmany numbers >4 and total numbers are left in the hat?
¿ 𝒔❑′ >𝟒 𝒊𝒏𝒉𝒂𝒕
𝒂𝒍𝒍 ¿′ 𝒔𝒊𝒏𝒅𝒆𝒄𝒌=𝟓𝟗
Multiplication Rule of Probability
P(A and B)
P(A)*P(B)
P(A)*P(B|A)
Multiplication Rule of Probability
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11/24 RightSide Input
Multiplication Rule of Probability
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11/24 LeftSide Input
Multiplication Rule of Probability
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