int2 section 4-5 1011
DESCRIPTION
Independent and Dependent EventsTRANSCRIPT
SECTION 4-5Independent and Dependent Events
Friday, December 17, 2010
ESSENTIAL QUESTIONS
How do you find probabilities of dependent events?
How do you find the probability of independent events?
Where you’ll see this:
Government, health, sports, games
Friday, December 17, 2010
VOCABULARY
1. Independent:
2. Dependent:
Friday, December 17, 2010
VOCABULARY
1. Independent: When the result of the second event is not affected by the result of the first event
2. Dependent:
Friday, December 17, 2010
VOCABULARY
1. Independent: When the result of the second event is not affected by the result of the first event
2. Dependent: When the result of the second event is affected by the result of the first event
Friday, December 17, 2010
EXAMPLE 1Matt Mitarnowski draws a card at random from a
standard deck of cards. He identifies the card then replaces it in the deck. Then he draws a second card.
Find the probability that both cards will be black.
Friday, December 17, 2010
EXAMPLE 1Matt Mitarnowski draws a card at random from a
standard deck of cards. He identifies the card then replaces it in the deck. Then he draws a second card.
Find the probability that both cards will be black.
P (Black, then black)
Friday, December 17, 2010
EXAMPLE 1Matt Mitarnowski draws a card at random from a
standard deck of cards. He identifies the card then replaces it in the deck. Then he draws a second card.
Find the probability that both cards will be black.
P (Black, then black) = P (Black)iP (Black)
Friday, December 17, 2010
EXAMPLE 1Matt Mitarnowski draws a card at random from a
standard deck of cards. He identifies the card then replaces it in the deck. Then he draws a second card.
Find the probability that both cards will be black.
P (Black, then black) = P (Black)iP (Black)
=
2652
i2652
Friday, December 17, 2010
EXAMPLE 1Matt Mitarnowski draws a card at random from a
standard deck of cards. He identifies the card then replaces it in the deck. Then he draws a second card.
Find the probability that both cards will be black.
P (Black, then black) = P (Black)iP (Black)
=
2652
i2652
=676
2704
Friday, December 17, 2010
EXAMPLE 1Matt Mitarnowski draws a card at random from a
standard deck of cards. He identifies the card then replaces it in the deck. Then he draws a second card.
Find the probability that both cards will be black.
P (Black, then black) = P (Black)iP (Black)
=
2652
i2652
=676
2704 =
14
Friday, December 17, 2010
EXAMPLE 1Matt Mitarnowski draws a card at random from a
standard deck of cards. He identifies the card then replaces it in the deck. Then he draws a second card.
Find the probability that both cards will be black.
P (Black, then black) = P (Black)iP (Black)
=
2652
i2652
=676
2704 =
14
= 25%
Friday, December 17, 2010
EXAMPLE 2Fuzzy Jeff takes a deck of cards and draws a card at random. He identifies it and does not return it to the
deck. He then draws a second card. What is the probability that both cards are black?
Friday, December 17, 2010
EXAMPLE 2Fuzzy Jeff takes a deck of cards and draws a card at random. He identifies it and does not return it to the
deck. He then draws a second card. What is the probability that both cards are black?
P (Black, then black)
Friday, December 17, 2010
EXAMPLE 2Fuzzy Jeff takes a deck of cards and draws a card at random. He identifies it and does not return it to the
deck. He then draws a second card. What is the probability that both cards are black?
P (Black, then black) = P (Black)iP (Black)
Friday, December 17, 2010
EXAMPLE 2Fuzzy Jeff takes a deck of cards and draws a card at random. He identifies it and does not return it to the
deck. He then draws a second card. What is the probability that both cards are black?
P (Black, then black) = P (Black)iP (Black)
=
2652
i2551
Friday, December 17, 2010
EXAMPLE 2Fuzzy Jeff takes a deck of cards and draws a card at random. He identifies it and does not return it to the
deck. He then draws a second card. What is the probability that both cards are black?
P (Black, then black) = P (Black)iP (Black)
=
2652
i2551
=6502652
Friday, December 17, 2010
EXAMPLE 2Fuzzy Jeff takes a deck of cards and draws a card at random. He identifies it and does not return it to the
deck. He then draws a second card. What is the probability that both cards are black?
P (Black, then black) = P (Black)iP (Black)
=
2652
i2551
=6502652
=25
102
Friday, December 17, 2010
EXAMPLE 2Fuzzy Jeff takes a deck of cards and draws a card at random. He identifies it and does not return it to the
deck. He then draws a second card. What is the probability that both cards are black?
P (Black, then black) = P (Black)iP (Black)
=
2652
i2551
=6502652
=25
102≈ 24.5%
Friday, December 17, 2010
PROBLEM SET
Friday, December 17, 2010
PROBLEM SET
p. 170 #1-25
“Most people would rather be certain they’re miserable than risk being happy.” - Robert Anthony
Friday, December 17, 2010