Consider an experiment in which a fair coin is tossed once anda balanced die is
ID: 2913605 • Letter: C
Question
Consider an experiment in which a fair coin is tossed once anda balanced die is rolled once. (a) Discribe the sample space for this experiment. (b) What is the probability that a head will be obtained onthe coin and an odd number will be obtained on the die? Consider an experiment in which a fair coin is tossed once anda balanced die is rolled once. (a) Discribe the sample space for this experiment. (b) What is the probability that a head will be obtained onthe coin and an odd number will be obtained on the die?Explanation / Answer
a) The sample space would be here the combination of heads, tailsand numbers that you could get, thus: Let H = heads, T=Tails, and 1, 2, 3, 4, 5, 6 representing thenumbers that can be shown on the die S = { (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T,2), (T, 3), (T, 4), (T, 5), (T, 6) } (e.g. (H, 1) represents getting a head on a coin and a 1 from thedie) b) The probability that a head will be obtained on the coin and an oddnumber be obtained on the die can be counted from the samplespace... we see that this is (H, 1), (H, 3), (H, 5) Since there are 12 different combination in the sample space, theprobability is 3/12, or 1/4.