List the elements of the sample space defined by the experiment.

Toss a coin twice. 

{H, T}{1H, 2H, 1T, 2T, H1, H2, T1, T2}     {HH, HT, TH, TT}{1, 2, H, T}{1H, 2H, 1T, 2T}

The sample space of an experiment is the set of all possible outcomes. For the experiment of tossing a coin twice, we list all the combinations of heads (H) and tails (T) that can occur.

Given that we are tossing a coin twice, the possible outcomes are:

1. Both tosses result in heads: HH
2. The first toss is heads, and the second toss is tails: HT
3. The first toss is tails, and the second toss is heads: TH
4. Both tosses result in tails: TT

So, the correct sample space is:

**{HH, HT, TH, TT}**

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:

1. What is the probability of getting exactly one head in two coin tosses?
2. How does the sample space change if you toss the coin three times?
3. What is the probability of getting two heads in two coin tosses?
4. How would the sample space look if the coin was biased?
5. Can you extend this concept to a situation where you toss three different coins?

**Tip:** In probability, the sample space is essential for calculating the likelihood of events, as it encompasses all possible outcomes of an experiment.

Explore the concept of sample space in probability by understanding all possible outcomes when tossing a coin twice. This detailed explanation covers scenarios like HH, HT, TH, and TT. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation