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
Alekssandra [29.7K]
3 years ago
12

A bag contains two coins, one for which the probability of heads is equal to 1 and one for which the probability of heads is equ

al to p. A coin is selected at random, and three independent tosses of this coin result in three heads. What is the probability that a further independent toss of this coin will produce a head?a. p4/1 + p3.b. p3 - p2/1 + p3.c. p3/1 - p.d. 1/1 + p3.e. 1 + p4/1 + p3.
Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)

Step-by-step explanation:

P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)

= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)

therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))

= 1 / (1 + p³)

Also P( second coin given 3 heads) = p³ /(1 + p³)

therefore P(4th toss in heads given first 3 are heads)  will be;

= P(first and 4th toss heads) + P(second and 4th toss heads)

=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p

= (1 + p⁴) / (1 + p³)

Therefore Option E is the correct answer

You might be interested in
The graph of is shown on the grid.
Ronch [10]

Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?

6 0
3 years ago
Read 2 more answers
Can anyone help me with this geometry two column proof
Anastasy [175]

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180                      Linear pair

∠4 + ∠5 +∠ 3 = 180             form straight line

∠1 + ∠2 = ∠4 + ∠5 + ∠3        from statement 1 and 2

∠3 +∠2 = ∠4 + ∠5 + ∠3          ∠1 and ∠3 are vertically opposite angles.

∠2 = ∠4 + ∠5                           Proved

3 0
3 years ago
Henry received $500 for his birthday which he intends to invest in an account that pays simple interest at the rate of 12% per y
Mila [183]

Answer:

$560

Step-by-step explanation:

Given that :

Principal, P= $500

Interest rate, r = 12% per year

Amount in account after 1 year

Time = 1 year

Using the relation :

A = P(1 + rt)

A = final amount in account

A = $500(1 + 0.12(1))

A = $500(1 + 0.12)

A = $500(1.12)

A = $560

3 0
2 years ago
Find f(-5) if f(x)=lx+1l<br>A.6<br>b.5<br>c.4​
3241004551 [841]

Answer:

its C

Step-by-step explanation:

f(x) = |(-5)+1|

f(x)=|4|

absolute value of 4 is 4

4 0
2 years ago
Read 2 more answers
The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees
11Alexandr11 [23.1K]

Answer:

86 degrees

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • I need help on 24 and 22! Does anyone get it?
    14·1 answer
  • Solve the following equation for z. <br> w=p(y-z)
    15·1 answer
  • If the sum of a number and seven is doubled, the result is five less than the number
    15·1 answer
  • What percent of 40 is 30?
    12·1 answer
  • Find the value of x such that the data set has the given mean.
    11·1 answer
  • Can you please help me with this! It's due in a couple hours.
    13·1 answer
  • What is the approximate volume, in cubic inches, of a basketball with a diameter of 9 inches?
    6·1 answer
  • Write as a fraction and fractional model model: there is one container of fruit juice and 2 people want juice
    13·1 answer
  • Leslie has a watering can that holds 3 liters of water. She uses 250 milliliters of water on each of her plants. How many plants
    6·2 answers
  • Solve for x
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!