A subset of sample space to which a probability is assigneda. Complementb. Experimentc. Eventd. None

John and Sophia roll a die and consider the outcome. They denote the set of all possible outcomesΩ={1, 2, 3, 4, 5, 6}.In probability theory, this set of all possible outcomes is called the sample space, but a general collection of outcomes is called an event.John and Sophia are interested in the following events:ABCD===={1, 3, 5}{2, 4, 6}{1}{6}.Tick the most appropriate answer:A⊆CA∪C=BB⊆DA∪D=∅Ω∪A=AA∖C=AC⊆A

The sample space refers toQuestion 6Select one:a.any particular experimental outcomeb.the set of all possible experimental outcomesc.an eventd.the sample size minus one

Let Ω be the sample space and A⊆Ω be an event. Given below are two statements:(S1): If P(A)=0, then A=ϕ(S2): If P(A)=1, then A=ΩThenonly (S1) is trueonly (S2) is trueboth (S1) and (S2) are trueboth (S1) and (S2) are false

If the knowledge that an event A has occurred implies that a second event B cannot occur, then the events A and B are said to be A. disjoint. B. the sample space. C. independent. D. collectively exhaustive.

A fair coin is tossed, and a fair die is thrown. Write down sample spaces for(a) the toss of the coin;(b) the throw of the die;(c) the combination of these experiments.Let A be the event that a head is tossed, and B be the event that an odd number isthrown. Directly from the sample space, calculate P (A ∪ B) and P (A ∩ B)