Estimate this calculation (458+1278)/496

If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails

Answer:

<h3>The answer is <u>3/8</u> NOT 50%</h3>

Step-by-step explanation:

One way to solve this problem is to figure out how many ways you can get exactly 222 tails, then divide this by the total number of outcomes you could have gotten. Since every outcome has equal probability, this will be the probability that you will get exactly 2 tails.

How many outcomes are there where you get exactly 2 tails? Try thinking of each outcome as a 4-letter word, where the first letter is "H" if the first coin toss was heads and "T" if it was tails, and so on.

So, the number of outcomes with exactly 2 tails is the same as the number of these words which have 2 T's and 2 H's.

How many of these are there? If we treat all the letters as unique, we'll find that there are 4! different arrangements, overcounting 2! times for every time we only switch the T's around, and 2! times for every time we only switch the H's around.

So, there are <u>4!/2!2!</u> = 6

<u>4!/2!2!</u>= 6 different outcomes where you get exactly 2 tails.

Altogether, there are 2^4 = 16 total possible outcomes.

So, the probability that you will get exactly 2 tails is <u>6/16</u> = 3/8

4 0

3 years ago

A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it i

Akimi4 [234]

The expected value of the game is the mean value of the game

The expected value of the game is $1

<h3>How to determine the expected value?</h3>

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

$E(x) = \sum x * P(x)$

This gives

$E(x) = \frac 14 * 7 - 1 * \frac34$

Simplify

$E(x) = \frac 74 - \frac34$

Evaluate

$E(x) = 1$

Hence, the expected value of the game is $1

Read more about expected values at:

brainly.com/question/15858152

8 0

3 years ago

Can two data sets have the same mean but different standard deviations?

agasfer [191]

Yes they can and it depends on what the standard deviations are. The standard deviation is a measure of how close results are to the mean, a low standard deviations means the measurements are precise, so close to the mean. A high standard deviation means that measurements are more spread out. Saying that one set is more spread out than the other.

5 0

3 years ago

The graph shows a proportional relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes

vredina [299]

Answer:

3.10 i think i saw in quiz i hope you do a great job and ace the test

Step-by-step explanation:

6 0

3 years ago

Please help me!!!!!!!!!

serious [3.7K]

Download the app photomath it will help you

6 0

3 years ago