Probability - 3 part question

Mathematics
Tutor: None Selected Time limit: 1 Day

Three fair coins are flipped. Outcomes in the sample space are represented by strings such as HHT, HTH, and TTT.
 1. List all of the elements in the sample space.
 2. Express the event “there is at least one head, but no more than two heads” as a set. Show each of the possible combinations.
 3. What is the probability that there is at least one head rolled, but no more than two heads?

May 21st, 2015

1. List all of the elements in the sample space.

HHT,HTH ,THH , TTH, THT, TTT, HHH

 2. Express the event “there is at least one head, but no more than two heads” as a set. Show each of the possible combinations.

TTH, THT

3. What is the probability that there is at least one head rolled, but no more than two heads?

P(x)= 2/7 =0.285

May 21st, 2015

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