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
Darya [45]
3 years ago
12

Draw a tree diagram illustrating the events, two cards are drawn in succession with replacement from a standard deck of 52 and i

ts suit is observed. How many total branches exist in this tree diagram?
Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
The tree diagram shows the possible ways or outcomes of the experiments. In the first draw, there are 52 possible outcomes while for the second draw, considering there is no replacement, there are 51 ways. Multiplying these numbers, the answer would be 2652. 
You might be interested in
If the test for a disease is accurate 45% of the time, How often will it come back negative if a patient has the disease?
Dafna1 [17]
D. 55% of the time

45% of the time it will say positive

The other 55% of the time will come back negative.
7 0
3 years ago
3+5=5+ 3•5=5•2+(-2)=0TRUE OR FALSE ? ( for all three of them )
Savatey [412]

Take into account that commutative property is present for addition and multiplication operations, then, you have:

3+5=5+3 TRUE

3·5 = 5·3 TRUE

The inverse addition of a number consists in adding the same numbers but with opposite signs, then, you have:

2 + (-2) = 0 TRUE

7 0
1 year ago
Region R is bounded by the curves y = 4x2 and y = 4. A solid has base R, and cross sections perpendicular to the y-axis are semi
natulia [17]

Answer:

69

Step-by-step explanation:

12+22=69

5 0
3 years ago
Over a period of 12 hours, the temperature dropped 60 degrees. What was the average change in temperature in one hour?
dybincka [34]
The change in temperature for 1 hour would be -5. hope this helps.
7 0
3 years ago
Read 2 more answers
Two events E1 and E2 are called independent if p(E1 â© E2) = p(E1)p(E2). For each of the following pairs of events, which are su
posledela

Answer:  a) Independent

b) Independent

c) Dependent

Step-by-step explanation:

Since, If a coin is tossed three times,

Then, total number of outcomes, n(S) = 8

a)  E_1 : tails comes up with the coin is tossed the first time;

E_1 = { TTT, THH, THT, TTH }

E_2 :  heads comes up when the coin is tossed the second time.

E_2 = { THT, HHH, THH, HHT }

Thus, n(E_1)=4

⇒  P(E_1)=\frac{n(E_1)}{n(S)}=\frac{4}{8}=\frac{1}{2}

Similarly,  P(E_2)=\frac{1}{2}

⇒  P(E_1)\times P(E_2)=\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}

Since,   E_1\cap E_2 = { THH, THT }

n(E_1\cap E_2) = 2

⇒ P(E_1\cap E_2) = \frac{n(E_1\cap E_2)}{n(S)}= \frac{2}{8}=\frac{1}{4}

Thus,  P(E_1\cap E_2)=P(E_1)\timesP(E_2)

Therefore,  E_1 and E_2 are independent events.

B)  E_1 :  the first coin comes up tails

E_1 = { TTT, THH, THT, TTH }

E_2 :   two, and not three, heads come up in a row

E_2 = { HHT, THH }

Thus, n(E_1)=4

⇒  P(E_1)=\frac{n(E_1)}{n(S)}=\frac{4}{8}=\frac{1}{2}

Similarly,  P(E_2)=\frac{1}{4}

⇒  P(E_1)\times P(E_2)=\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}

Since,   E_1\cap E_2 = { THH }

n(E_1\cap E_2) = 1

⇒ P(E_1\cap E_2) = \frac{n(E_1\cap E_2)}{n(S)}= \frac{1}{8}

Thus,  P(E_1\cap E_2)=P(E_1)\timesP(E_2)

Therefore,  E_1 and E_2 are independent events.

C)  E_1 :  the second coin comes up tails;

E_1 = { HTH, HTT, TTT, TTH }

E_2 :   two, and not three, heads come up in a row

E_2 = { HHT, THH }

Thus, n(E_1)=4

⇒  P(E_1)=\frac{n(E_1)}{n(S)}=\frac{4}{8}=\frac{1}{2}

Similarly,  P(E_2)=\frac{1}{4}

⇒  P(E_1)\times P(E_2)=\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}

Since,   E_1\cap E_2 = \phi

n(E_1\cap E_2) = 0

⇒ P(E_1\cap E_2) = 0

Thus,  P(E_1\cap E_2)\neq P(E_1)\timesP(E_2)

Therefore,  E_1 and E_2 are dependent events.


3 0
3 years ago
Other questions:
  • On Saturday, amir ran 1 3/4 miles, and Janie ran to 2 1/2 miles. Who ran further? How much further? Write an equation to find "d
    13·1 answer
  • What is the expansion of the following fraction?
    15·2 answers
  • What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to
    6·1 answer
  • Plz answer :)
    9·1 answer
  • 5 . 9 × ____ = 73.16 which is the missing factor?
    14·2 answers
  • Given : b(x) = 3x + 1<br> find b(x) = 28
    6·1 answer
  • What is the solution set for this inequalty? -8x + 40&gt; -16
    11·1 answer
  • Im not being timed but i got 20 question
    12·2 answers
  • ASAP!!! 30POINTS!!!!<br><br>what is the equation of the line graph below?​
    14·1 answer
  • Calculate the stress on the snow when the snowboarder stands on the board.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!