warm-up an american roulette wheel has 38 slots with...
TRANSCRIPT
•Warm-up•An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00. Of the numbered slots, 18 are red, 18 are black, and 2 – the 0 and 00 – are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is likely to settle in any of the numbered slots.•What is the probability that someone will get an even
number?•What is the probability that someone will get neither a red
nor a black?•What is the probability that someone will get a red after they
got a black?• Check Review Sheet•Questions•More Practice with Probability
#1
•An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00. Of the numbered slots, 18 are red, 18 are black, and 2 – the 0 and 00 – are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is likely to settle in any of the numbered slots.•What is the probability that someone will get
three consecutive reds?
#2
•An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00. Of the numbered slots, 18 are red, 18 are black, and 2 – the 0 and 00 – are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is likely to settle in any of the numbered slots.•What is the probability that someone will get
red, black, red – in that order?
#3
•An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00. Of the numbered slots, 18 are red, 18 are black, and 2 – the 0 and 00 – are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is likely to settle in any of the numbered slots.•What is the probability that someone will get
their first red on the 4th try?
#4
•An American roulette wheel has 38 slots with numbers 1 through 36, 0, and 00. Of the numbered slots, 18 are red, 18 are black, and 2 – the 0 and 00 – are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is likely to settle in any of the numbered slots.•What is the probability that someone will get at
least one green within 5 tries?
#5
•If P(A) = 0.3 and P(B) = 0.2, what is the P(A B) if A and B are independent?
#6
•If P(A) = 0.3 and P(B) = 0.2, what is the P(A B) if A and B are disjoint?
#7
•A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails the whole string will go dark. Each light has probability 0.02 of failing during a 3 year period. What is the probability that at least one of the lights (thus the whole string) will fail within the three years?
#8•Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey asking “Do you eat breakfast on a regular basis?” All 595 students in the school responded to the survey. The resulting data are shown in the two-way table.•What is the probability that a student is a female? Male Female Total
Eats Breakfast 190 110 300
Doesn’t eat breakfast 130 165 295
Total 320 275 595
#9•Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey asking “Do you eat breakfast on a regular basis?” All 595 students in the school responded to the survey. The resulting data are shown in the two-way table.•What is the probability that a randomly chosen student is a female who eats breakfast regularly?
Male Female Total
Eats Breakfast 190 110 300
Doesn’t eat breakfast 130 165 295
Total 320 275 595
#10•Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey asking “Do you eat breakfast on a regular basis?” All 595 students in the school responded to the survey. The resulting data are shown in the two-way table.•What is the probability of choosing someone who eats breakfast regularly given that they are a female? Male Female Total
Eats Breakfast 190 110 300
Doesn’t eat breakfast 130 165 295
Total 320 275 595
Questions….