1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zolol [24]
2 years ago
7

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. Use the notation "4H", for example, to denote the outcome that the die comes up "4" and 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.
a. Construct a tree diagram to show the 18 elements of the Sample Space S.
b. List the elements corresponding to the event A that a number less than 3 occurs on the die.
c. List the elements corresponding to the event B that two tails occur.
d. List the elements corresponding to the event C that a head and tail occur.
e. List the elements corresponding to the event A'.
f. List the elements corresponding to the event A' ∩B.
g. List the elements corresponding to the event A ∪ B.
h. Draw a Venn diagram to illustrate events A, B, and C.
i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?
Mathematics
1 answer:
Dahasolnce [82]2 years ago
4 0

Answer:

Kindly check attached picture and explanation

Step-by-step explanation:

A.) The tree diagram is attached in the picture below.

B.) Number less than 3 :

Event A:

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

C.)

Event B:

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

D.)

Event C:

C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}

E.)  

A' = Elements not in A = number ≥ 3

A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

Question f and G are not well formatted ;

h. Check attached picture

I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?

A and B are mutually exclusive if AnB = ∅

Check :

AnB = {1TT}

Hence, A and B are not mutually exclusive

A and C

AnC = {1HT, 1TH}

A and C are not mutually exclusive.

B and C

BnC = ∅

B and C are mutually exclusive

You might be interested in
Tyree and four friends go to the movies.Each person buys a movie ticket for $7,a snack for $5,and a drink for $2. Write an expre
Olegator [25]
7 + 5 + 2 = 14 because seven plus five is twelve, twelve plus two is fourteen.
7 0
3 years ago
Read 2 more answers
Pease help Marking Brainiest
Trava [24]
It would be 150 miles

equation: y = 30x
8 0
3 years ago
Read 2 more answers
Equivalent expression of 8x+12-x
natka813 [3]

Answer:

7x+12 because there is 8x then you subtract 1x which 'll equal 7x and add the 12

7 0
3 years ago
Need help finding the value of O. Please help..
Kruka [31]

Answer:

O=30° or O=29°

Step By Step Explanation:

∠α =arcsin( a/c )

= arcsin(4/8)

= arcsin(0.5)

= 0.5 rad = 30° = 29°

I Hope This Helps. I Gave you 2 answers just in case 1 is Wrong. And I Hope you Understand This Calculation, I Used Different Variables and the arcsin thing is something my teacher told my class to use, and I Have no Idea what it means because my teacher never explained what it meant, Sadly.

7 0
2 years ago
PLEASE HELP!<br> When x = 1 — 2 , 3x 2 =
Katyanochek1 [597]

Plug in the x value.

3(1-2)2=?
1-2= -1
3(-1)= -3
-3(2)= -6.

The answer is -6. 



4 0
3 years ago
Other questions:
  • I need help. Please help with 4-5 ;-; big reward
    12·1 answer
  • HELP ASAPP! WILL MARK BRAINLIST I DONT HAVE ENOUGH TIME LEFT!! LOTTA POINTS
    13·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%7B40a%7D%5E%7B2%7D%20%20%2B%2020a%20-%2030%20%3D%20%28%20-%201%29%28%20%20%7B15a%7D%5E%7B3
    10·1 answer
  • In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.
    13·2 answers
  • Britney just got a new video game for her birthday. Yesterday, she played for 27 minutes and beat 3 levels. Today, her parents s
    13·1 answer
  • PLEASE HELP ASAP?!!!!!!!
    12·1 answer
  • 40:33
    7·2 answers
  • A box of modelling clay with a mass of 6.9 kg is divided equally among 12 students.
    8·2 answers
  • Find the slope of the line.
    11·1 answer
  • Any smart people want to help me
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!