Examples for

Common Core Math: High School Statistics & Probability: Using Probability to Make Decisions

In advanced high school courses, students learn to interpret computed probabilities of random events to anticipate possible outcomes. Students develop probability distributions for random variables. Based on concepts of probabiity, students define strategies and compute payoffs for games of chance and other real-world contexts.
Common Core Standards

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CCSS.Math.Content.HSS-MD.A.1
high school statistics common core standard MD.B.5

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using probability to make decisions common core standards
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Expected Values

Calculate expected values of random events.

Define and visualize probability distributions (CCSS.Math.Content.HSS-MD.A.1):

two 6-sided dice roll probabilities
probability distribution for 15 fair coin tosses
number of coin tosses until 7th head
blackjack odds
birthday paradox with 23 people

Compute expected values of random variables (CCSS.Math.Content.HSS-MD.A.2):

expected total of 5 dice
expected winnings for $20 bet on 17 in roulette
10 coin flips
probability distribution 5 trials with p=1/4

Find probabilities of specific outcomes (CCSS.Math.Content.HSS-MD.A.3):

probability of 8 heads in 15 coin tosses
roll a 24 with three 10-sided dice
at least 3 eights in 12 cards
roll strictly between 20 and 30 with 4 octahedral dice
streak of 11 heads in 40 coin flips
poker full house
chances of winning the lottery
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Analyzing Outcomes

Use probability to investigate chance events.

Determine expected payoffs (CCSS.Math.Content.HSS-MD.B.5):

8:5 odds, bet $10
wager 32 dollars at 6 to 1 odds

Make random selections (CCSS.Math.Content.HSS-MD.B.6):

flip a coin
example roll of a 12-sided die
random number between 1 and 100
choose 5 random US states
random given name
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