# 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.

1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.
4. Determine each event you will calculate.
5. 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)