# What are the possible values of elements of random variable if you will toss a coin twice?

## What are the possible values of elements of random variable if you will toss a coin twice?

Example of a Random Variable If random variable, Y, is the number of heads we get from tossing two coins, then Y could be 0, 1, or 2. This means that we could have no heads, one head, or both heads on a two-coin toss. However, the two coins land in four different ways: TT, HT, TH, and HH.

### How do you find the mean variance and standard deviation of a probability distribution?

To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products. To find the standard deviation σ of a probability distribution, simply take the square root of variance σ2.

#### What is the formula in finding the probability of a given random variable?

It is computed using the formula μ=∑xP(x).

**What is the probability of tossing a coin 4 times?**

1/16

1) Consider the experiment of flipping of 4 coins. If we assume that each individual coin is equally likely to come up heads or tails, then each of the above 16 outcomes to 4 flips is equally likely. Each occurs a fraction one out of 16 times, or each has a probability of 1/16.

**When a coin is tossed 4 times what is the total number of possible outcomes?**

when we toss a coin 4 times we get 2^4=16 possible outcomes.

## When we toss a coin there are two possible outcomes?

Single Coin is Tossed When a fair coin is tossed then there are two possible outcomes: H(head), T(tail).

### When you toss two coins at the same time what could be the possible results?

When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.

#### How do you find the mean and standard deviation of a probability table?

Complete the following expected value table. Like data, probability distributions have standard deviations. To calculate the standard deviation (σ) of a probability distribution, find each deviation from its expected value, square it, multiply it by its probability, add the products, and take the square root.

**How do you solve for probability?**

Divide the number of events by the number of possible outcomes.

- Determine a single event with a single outcome.
- Identify the total number of outcomes that can occur.
- Divide the number of events by the number of possible outcomes.
- Determine each event you will calculate.
- Calculate the probability of each event.

**What is the formula of probability?**

Formula to Calculate Probability The formula of the probability of an event is: Probability Formula. Or, P(A) = n(A)/n(S)