Probability

So, over the past week we learned different types of probability. Probability is part of statatics. It tells you the odds or chances of something happening or not happening. It's always in between 0-1 an is in a fraction. The final answer of your fraction should be simplified. Some of the most common types of probability is dealing with dice or a deck of cards. I'm going to show you an example of each.

Example 1. What are the odds of drawing a diamond out of a standard deck of 52 cards.

They're 13 diamonds in a deck of cards. So you would put 13/52 which simplifies to 1/4. Thatvid your final answer.

Example 2. What are the odds that you roll higher than a four when rolling a six sided die

Since there is two sides higher than 4 and six total sides you would do 2/6 which simplifies to 1/4.

That's about all probability is. It's pretty easy.

That's it, carleyyyy

Probability

Ok so today im going to teach you a little about probability. The probability is the possible outcomes that something can happen. One way to express the probability is p(event). I think that this section is really easy and will just go straight and show you a few examples because it isnt that hard to understand.

So this will be out of a standard deck of cards. The first thing you will need to understand a deck of cards.

52 cards.
26 red cards
26 black cards.
4 suits
clubs spades hearts dimonds
13 in each suit
the suit consist of an ace 1 2 3 4 5 6 7 8 9 10 jack queen king
jack queen and king are face cards.

* Now that i have explain to you the standard deck of cards i will work a few problem.

p(black cards) = 26/52 This will reduce to 1/2 it is very important to make sure you reduce the fractions.

p(a 2or3)= 2/13

P(facecard)= 12/52 3/13

*another example can the the probability of rolling a die*
consist of numbers 1-6

P(even) 1/2

P(odd) 1/2

P(123or4) 2/3

BAM!!!!!!!

Probability

Things you need to know:

• Probability is from 0-1, which means 0 is the probability it will not happen and 1 is the probability it will happen.
• Formula: P(event A) = favorable outcomes/total outcomes
• Most probability problems involve a standard deck of cards or the rolling of one or two dice. Those are the most common types.

Example 1: Out of a standard deck of 52 cards, what is the probability that you will get a red card.

• First you need to know how many red cards are in a deck of 52 cards.
  
• There are 26 red cards in a deck of 52 cards.
• So you would just put that as a fraction: 26/52.
• After that you can reduce it. It reduces to 1/2.
• Final answer: 1/2.

Example 2: Out of a standard deck of 52 cards what is the probability that you will get a black diamond.

• First you must realize that there is not a black diamond in a 52 deck of cards.
• It does not exist.
• So since it does not exist you would put 0/52.
• 0/52 will give you 0.
• 0 is your final answer.

-Amber :)

16-1

This weekend I am going to teach you all how to find probabilities. This lesson is just simple probabilities, like finding the probability of either one or two events. There are a few things that you need to know before I show you all an example.

Notes:
• If two events are mutually exclusive, then they cannot happen at the same time.
• P(A or B) = P(A) + P(B) - P(A & B)
• If the events are mutually exclusive, then P(A or B) = P(A) + P(B)

Now I will show you all an example of a probability problem.

Example: A standard deck of cards consists of 52 cards, with 13 cards in each of four suits (clubs, spades, diamonds, and hearts). Clubs and spades are always black, while diamonds and hearts are always red. The face cards are the jacks, queens, and kings. If the deck is shuffled correctly, what is the probability that the top card is:

a. a black diamond: 0/52 = 0

b. a face card: 12/56 = 3/14

c. an ace: 4/56 = 1/14


-Braxton

16-1

16-1 Finding Probabilities

In this lesson, we learn how to find the probability 0f an event or either of two events.

-P(event A) = favorable outcomes/total # of outcomes

-P(A or B) = P(A) + P(B) - P(A & B)

-P(A or B) = P(A) + P(B) *mutually exclusive*

Example 1: A standard deck of cards consists of 52 cards, with 13 cards in each of four suits (clubs, spades, diamonds, and hearts). Clubs and spades are always black, while diamonds and hearts are always red. The face cards are the jacks, queens, and kings. If the deck is shuffled correctly, what is the probability that the top card is:

a) a red ace

=2/52 = 1/26

b) not a red ace

=50/52 = 25/26

c) a spade face card

=3/52

Example 2: One of the integers between 11 and 20, inclusive, is picked at random. What is the probability that the integer is:

a) even

= 1/2

b) divisible by 3

= 3/10

c) a prime

= 4/10 = 2/5

16-1 Probability

So this week I am going to explain how to work probability problems. They are superrr easy, but first I need to tell you a few basic things that you might need to knoww.

• Probability is from 0-1, which means 0 is the probability it will not happen and 1 is the probability it will definetaly happen.
• There is only one formula you need to know when working these types of problems. That formula is : P(event A)= favorable outcomes / total outcomes
• Most probability problems involve a standard deck of cards or the rolling of one or two dice. Those are the most common types of problems you will see.

So now that you know all that, I will work a few examples for you.

Example 1: Out of a standard deck of 52 cards, what is the probability that you will get a black card.

• In a deck of 52 cards there are 26 total black cards.
• So you would put 26/52.
• Which that then reduces into 1/2 and that is your answer.

Example 2: Out of a standard deck of 52 cards, what is the probability that you will get a black or red card.

• In a deck of 52 cards all they have are black and red cards.
• So you would put 52/52.
• Which reduces into 1. So you then know that your chances of getting a black or red card will definetaly happen.

And that is how you work probability problems. So that's it for this weeek. BYEEE :)

--Halie.

16-1 probability

today im teaching you how to find the probability of things. these things mostly include a 52 deck of cards or rolling dice. there are other things you can get probability of but these are the main two we will be dealing with. probabilty is from 0-1 meaning 0 will not happen 1 meaning will happen. the fromula for this is             P(event A)= favorable outcomes / total outcomes. this is really easy and has been done before so here is an example below.



EX: find the probability of each picking out of a 52 card deck that is shuffled well.

a) a black card
26 black cards / 52 total cards = 1/2 is the probabilty

b) a spade
13 spades / 52 cards = 1/4 is the probability

c) not a spade
39 not spades / 52 cards = 3/4 is the probability