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
Crank
3 years ago
9

Discrete MathA coin is flipped four times. For each of the events described below, express the event as a set in roster notation

. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event.( a ) The first and last flips come up heads.( b ) There are at least two consecutive flips that come up heads.( c) There are at least two consecutive flips that are the same
Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

a) 25%

b) 50%

c) 87.5%

Step-by-step explanation:

There are 2^4 = 16 number of outcome in total.

a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.

- HHHH

- HHTH

- HTHH

- HTTH

b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

- TTTT

- TTTH

- TTHT

- HTTT

- HTTH

- THTT

You might be interested in
Which of the distributions is left skewed?
tino4ka555 [31]

Answer:

i would pick line c and e before i  would do a and e and b fnhwbh bfrhb bdh hejwhjd febhrew

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1. x²+2xy+y²<br>2. x²-8x+16<br>3. 16a⁴_24a²b²+9b​
ale4655 [162]

Answer:

1.(x+y)²

2. (x-4)²

3. (4a²-3b²)²

6 0
3 years ago
Help me out?? would be wonderful!
umka2103 [35]
C I think because vertical lines is (VUX) which is Vertical, undefined slope, and x=
7 0
3 years ago
Divide. Express your answer in simplest form.<br><br>10/11 ÷ 2/3​
Jlenok [28]

Answer:

1\frac{4}{11}

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help Me With These Please
Gwar [14]
Look up the formula to find the area of a trapezoid. Then do the math HINT: The formula is 

A= a+b/2 h
6 0
3 years ago
Other questions:
  • 15) will mark BRAINLIEST AND 10 POINTS.
    5·2 answers
  • PLEEEEASE HELP!!!! QUICK
    8·1 answer
  • What is the answer to this question?
    7·2 answers
  • How do you solve 2-3y &gt;1 as a inequalities​
    7·1 answer
  • The function f(x) = 800(1.09)4x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equi
    12·2 answers
  • 1. A jar contains 10 marbles, 6 marbles are red, and 4
    8·1 answer
  • In a school canteen there are 7 choices of drink, 3 choices for the main meal and 2 choices for the pudding. If I have one of ea
    7·1 answer
  • mrs xu lives 10.7 miles away from her place of work. she drives to work and back six days a week. how many miles does she travel
    11·1 answer
  • Divide a number by 7, and then subtract 4 from the quotient
    8·2 answers
  • Gabriel is raising money for a school trip by selling lollipops and bags of chips. The price of each lollipop is $1 and the pric
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!