Secondary Math 2 6.2 Venn Diagrams – and/or

Warm up In the college math department, there are 225 male students of which 175 are full-time. There are 200 female students, 75 of which are part-time. Label your Venn diagram with the set names MALE and PART-TIME Male Part-Time

Male Part-Time 175 75 50 125 How many people are there total? How many part time students are there total? What is the probability that a randomly selected student will be part-time? What is the probability that a randomly selected student is male and part-time? Male Part-Time 175 75 50 125

Quiz 10/11 Quiz 10 Falling Objects 𝒉 𝒕 =−𝟏𝟔 𝒕 𝟐 + 𝒉 𝟎 Launching Objects 𝒉 𝒕 =−𝟏𝟔 𝒕 𝟐 + 𝒗 𝟎 𝒕+ 𝒉 𝟎 Time of Max Height 𝒕=− 𝒃 𝟐𝒂 𝒕= −𝒃± 𝒃 𝟐 −𝟒𝒂𝒄 𝟐𝐚

What you will Learn You will learn how to calculate compound probability (AND/OR)

Fun probability Calculate the probability that two people will have the same license plate number: L###LL Calculate the probability that two people will have the same phone number: (area code vs not)

ANd 𝑃 𝐴 𝑎𝑛𝑑 𝐵 =𝑃 𝐴 ∗𝑃(𝐵) MULTIPLY the different probabilities - Both things have to happen 𝑃 𝐴 𝑎𝑛𝑑 𝐵 =𝑃 𝐴 ∗𝑃(𝐵) MULTIPLY the different probabilities A B

“And” Example If you roll a die, what is the probability of it being odd and less than 5?

independent The result of one does NOT affect the result of the next one. EX: Tossing a coin Rolling a die REPLACEMENT

dependent The result of one in some way DOES affect the result of the next one. EX: Items taken without replacement

OR 𝑃 𝐴 𝑜𝑟 𝐵 =𝑃 𝐴 +𝑃 𝐵 −𝑃(𝐴 𝑎𝑛𝑑 𝐵) ADD the different probabilities (subtract what they share) - One can happen OR both can happen A B

“OR” Example If you draw a card from a deck of cards, what is the probability of it being a face card or a black card?

Set of numbers less than or equal to 11, you pick 1. Set A = Factors of 10 Set B = Odd numbers Find 𝐴 𝑜𝑟 𝐵 Find 𝐴 𝑎𝑛𝑑 𝐵

In a deck of cards, you draw 1 Set A = Face Cards Set B = Red Cards Find Probability of 𝐴 𝑜𝑟 𝐵 of 𝐴 𝑎𝑛𝑑 𝐵

2) A bag contains 4 white, 3 blue, and 6 red marbles 2) A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn.

3) A bag contains 4 white, 3 blue, and 6 red marbles 3) A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, kept, and another marble is drawn.

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4)   Part Time Full Time Total Female 80 40 120 Male 60 20 140 200

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