An experiment consists of tossing a coin and observing the side that lands up an
ID: 3145984 • Letter: A
Question
An experiment consists of tossing a coin and observing the side that lands up and then rolling a fair 4-sided die and observing the number rolled. Let H and T represent heads and tails respectively. Make sure and use capital letters. (Enter your answers using letter/number combinations separated by commas. Example: H1, T2, ...)
(a) Describe the sample space S corresponding to this experiment.
S =
(b) What is the event E1 that an even number is rolled?
E1 =
(c) What is the event E2 that a head is tossed or a 3 is rolled?
E2 =
(d) What is the event E3 that a tail is tossed and an odd number is rolled?
E3 =
Explanation / Answer
(a) Describe the sample space S corresponding to this experiment.
S = {H1, H2, H3, H4, T1, T2, T3, T4}
(b) What is the event E1 that an even number is rolled?
E1 = {H2, H4, T2, T4}
(c) What is the event E2 that a head is tossed or a 3 is rolled?
E2 = {H1, H2, H3, H4, T3}
(d) What is the event E3 that a tail is tossed and an odd number is rolled?
E3 = {T1,T3}
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