Do Now You roll a die and spinning a spinner numbered 1-10. What is the probability of rolling an even number and landing on a power of 3 on the spinner?

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Do Now You roll a die and spinning a spinner numbered 1-10. What is the probability of rolling an even number and landing on a power of 3 on the spinner? P(Even, Power of 3) =

Dependent, 28/253 or about 11% Dependent, 3/38 or about 8% Independent, 4/9 or about 44% Independent, 64/289 or about 22% 9) Independent, 1/16 or about 6% 10) Independent, 5/6 or about 83% 11) Dependent, 5/46 or about 11% 12) Independent, 1/6 or about 17% 13) Dependent, 5/19 or about 26% 14) Independent, 24/841 or about 3% 19) P(red, blue) = 8/87 or about 9% 20) P(blue, yellow) = 16/145 or about 11% 21) P(yellow, not blue) = 42/145 or a bout 29% 22) P(red, not yellow) = 17/87 or about 20% 23) P(white, white) = 91/276 or about 33% 30) P(red, red, orange) = 125/5488 or about 2%

Mutually Exclusive Events

Mutually Exclusive Events Events that cannot occur at the same time are called mutually exclusive events. Ex: Drawing a heart or a diamond.

Compound Events P(A or B) = P(A) + P(B) – P(A and B) Only applies when you have tow events that can occur at the same time.

Mutually Exclusive Events You have a 10-sided die. The die is rolled. Find the probability of the following events. P(4 or 8) P(at least 4)

Not Mutually Exclusive Events Ex: Draw a 2 or a diamond from a standard deck of cards—since it is possible to draw a card that is both a 2 and a diamond, these events are not mutually exclusive.

Example #4 You have a 10-sided die. The die is rolled. Find the probability of the following: P(5 or an odd number) B) P(odd or prime number)

Practice Using a standard deck of cards, find the probability of: P(jack or a king) P(jack or a spade)

Practice Of 240 girls, 176 are on the Honor Roll, 48 play sports, and 36 are on the Honor Roll and play sports. What is the probability that a randomly selected student plays sports or is on the Honor Roll?

HW Pg. 775 #5-8, Pg. 776 #15-18, 24-29, 31

5) Mutually exclusive; 2/13 or about 15% 6) Mutually exclusive; ½ or about 50% 7) Not mutually exclusive; 4/13 or about 31% 8)Not mutually exclusive; 4/13 or about 31% 15) 16) 17) 18) 24) P(heart or spade) = ½ or 50% 25) P(spade or club) = ½ or about 50% 26) P(queen, then heart) = 4/221 or about 2% 27) P(jack, then spade) = 4/221 or about 2% 28) P(five, then red) = 25/663 or about 4% 29) P(ace or black) = 7/13 or about 54% 31) a) 345 b) 159 c) 227/345 or about 66% d) 2/23 or about 9%