Math

ProbabilityQ&A LibraryThree fair coins are tossed. The two possible outcomes for a single coin are heads, h, and tails, t. Complete parts (a) through (e) below.(a) Write out the sample space. The sample space is?.(Use commas to separate answers as needed.) (b) Determine the probability of no heads.- (Type an integer or a simplified fraction.)Question

Asked Apr 19, 2019

1048 views

Three fair coins are tossed. The two possible outcomes for a single coin are heads, h, and tails, t. Complete parts (a) through (e) below.

(a) Write out the sample space.

The sample space is?.

(Use commas to separate answers as needed.)

(b) Determine the probability of no heads.-

(Type an integer or a simplified fraction.)

Step 1

**Part (a):**

The sample space is the collection of all outcomes, if a random experiment is performed.

In this case, the random experiment involves tossing 3 fair coins. While writing out the sample space, we shall consider the order; for example, if the first coin shows head, the second coin shows tail and the third coin again shows head, we shall write it as “hth”, according to the notation you have given.

Keeping these in mind, the sample space is: {hhh, hht, hth, htt, thh, tht, tth, ttt}.

Step 2

**Part (b):**

Observe the sample space. There are total 8 possible outcomes. Out of these, there is only 1 outcome that contains no “h”, that is, no heads: “ttt”.

Now, Probability of an event = (Number of cases favourable to an event) / (T...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Let X and Y be two random variables with joint probability mass function: p(x,y) = 1/48 xy(1+y) ??? ...

A: The provided joint probability mass function is:

Q: . Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever (H), with...

A: For bayes' theorem, its always better to draw probabilities in tree diagram to visually analyse them...

Q: A patient is a member of a health plan that has a 20 percent discount from the provider and a 15 per...

A: According to this question, a patient is a member of a health plan and as per the plan patient will ...

Q: The letters A,H,I,M,O,T,U,V,W,X and Y are all mirror images of themselfs. A string made of these le...

A: Given information:The letters A,H,I,M,O,T,U,V,W,X and Y are all mirror images of themselfs. A strin...

Q: The pointer shown to the right can land on every number, and the respective probability that the poi...

A: Conditions to construct a probability distribution table:Discrete random variable:If the variable X ...

Q: About 30% of all recorded tsunamis have been nine meters or higher.† You are writing a report about ...

A: Note: In this question there are 5 parts and we are authorized to answer up to 3 subparts only, So w...

Q: Find the z value such that 92% of the standard normal curve lies between −z and z. (Round your answe...

A: Given the area between -Z and Z is 92%.The area under standard normal curve is 1. So the area betwee...

Q: Find P (x > 3.24) for a standard normal distribution.

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal di...

Q: Is the following argument valid or invalid? If it’s valid, rewrite the same argument symbolically(p,...

A: Define the arguments:p: You are Patrick Star.q: This is your ID.r: This ID was in this wallet.s: Thi...