1. a roulette wheel consists of 38 numbers: 1 to 36, 0, and 00. What is the probability that a roulette ball will come go rest on an even number other than 0 or 00?
2. Two coins are tossed. Consider the event "getting two heads". Determine the theoretical probability.
3 a coin showed heads 4 times in a row. What is the probability of this event?
4. A student says that in 3 tosses of a coin, she can get atleast 2 hands.
What are the probablities of the event and it's complement?
2. Two coins are tossed. Consider the event "getting two heads". Determine the theoretical probability.
3 a coin showed heads 4 times in a row. What is the probability of this event?
4. A student says that in 3 tosses of a coin, she can get atleast 2 hands.
What are the probablities of the event and it's complement?

1) P(even) = # evens / # possible outcomes = 18 / 38
2) P(2 heads) = (.5)^2 = .25 or 25%
There are four possible outcomes. Only one is both heads. HH, HT, TH, TT
3) P(4 heads in a row) = (.5)^4 = .0625 or 6.25%
4) P(at least 2 heads) = P(3 heads) + P(2 heads) = 1/8 + 3/8 = 1/2
8 outcomes. Half have at least 2 heads.
HHH *
HHT *
HTH *
HTT
THH *
THT
TTH
TTT
2) P(2 heads) = (.5)^2 = .25 or 25%
There are four possible outcomes. Only one is both heads. HH, HT, TH, TT
3) P(4 heads in a row) = (.5)^4 = .0625 or 6.25%
4) P(at least 2 heads) = P(3 heads) + P(2 heads) = 1/8 + 3/8 = 1/2
8 outcomes. Half have at least 2 heads.
HHH *
HHT *
HTH *
HTT
THH *
THT
TTH
TTT