Which of the following events are equal? A = {1,3}; B = {x|x is a number on a di

Question

Which of the following events are equal? A = {1,3}; B = {x|x is a number on a die}; C = {x|x^2 - 4x + 3 = 0}; D = {x|x is the number of heads when six coins are tossed}; Two jurors are selected from 4 alternates to serve at a murder trial. Using the notation A_1A_3, for example, to donate the simple event that alternates 1 and 3 are selected, list the 6 elements of the sample space S. An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example, to denote the out-come that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space S. For the sample space of Exercise 1.5, list the elements corresponding to the event A that a number less than 3 occurs on the die; list the elements corresponding to the event B that two tails occur list the elements corresponding to the event A; list the elements corresponding to the event A B; list the elements corresponding to the event A B. An engineering firm is hired to determine if certain waterways in Virginia are safe for fishing. Samples are taken from three rivers. List the elements of a sample space S, using the letters F for safe to fish and N for not safe to fish. List the elements of S corresponding to event E.

Explanation / Answer

1.3). (a) and (c) are equal

(1.4) sample space= { A1A3,A1A2 ,A1A4, A 2A1,A2A3,A2A4,}

(1.5) sample space= { 1HT,1HH,1TH,1TT,2H,2T,3TH,3HT,3TT,3HH,4H,4T,,5TH,5HT,5TT ,5H,6T}

(1.6) event A={1HT,1HH,1TH,1TT,2H,2T}

B={1TT,3TT,5TT}

A n B = {1TT}

A u B =1HT,1HH,1TH,1TT,2H,2T,3TT,5TT}

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.