WEEK 24-EXERCISES-ON-PROBABILITY-TRIALS
VIMSCHOOL
Created on September 30, 2024
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Transcript
Exercises on Probability Trials
Start
Objectives
Selecting Balls from a Bag
Summary
Other Applications
Card Decks
Coins and Dice
Coins and Dice
Then:
Only some 6 sums give 7:
But only some sums are possible:
⚁+⚃=6
Example 1: When rolling two dice you can obtain a lot of sums like:
Let's find out how probable it is to obtain a sum of seven when rolling two dice.
🗨️
All possibilities
Sample space
Events
Step 4
1 12
p=
E={(⚀,H)} |E|=1 Just only one case.
|S| =6×2 = 12
Step 1
Step 2
Step 3
Example 2: You throw a coin and a die. What's the probability of obtaining a ⚀ and head?
Launching a Coin and a Die
Card Decks
13×4=52 cards
🃑 🃒 🃓 🃔 🃕 🃖 🃗 🃘 🃙 🃚 🃛 🃝 🃞
🃁 🃂 🃃 🃄 🃅 🃆 🃇 🃈 🃉 🃊 🃋 🃍 🃎
🂱 🂲 🂳 🂴 🂵 🂶 🂷 🂸 🂹 🂺 🂻 🂽 🂾
🂡 🂢 🂣 🂤 🂥 🂦 🂧 🂨 🂩 🂪 🂫 🂭 🂮
clubs ♣
spades ♠
Hearts ♥
Diamonds ♦
Types of Cards in a Deck
E={🂡,🂱, 🃁,🃑}
Step 3
4 52
p=
Step 4
|E|=4 There are 4 different aces in a deck.
|S| =13×4 = 52
Step 1
Step 2
Example 3: Suppose you have a deck of cards. What is the probability of drawing an Ace
Selecting a Card from a Deck
Selecting Balls from a Bag
3 12
p=
|E| = 3 reds
|S| = 3+4+5 = 12 marbles
⬤⬤⬤⬤
⬤⬤⬤
⬤⬤⬤⬤⬤
Solution
Click here to draw >
A bag contains 3 red, 4 blue, and 5 black marbles. What is the probability of picking a red marble?
Selecting a Marble
Select a ⬤ from {⬤⬤⬤⬤⬤}
Click here to draw >
The solution will appear in 30 seconds
- p=3/5 Select a ⬤ from {⬤⬤⬤⬤⬤}
- p=1/3 Select a spade from{🂡🂱🃁🂾🃑🂪}
- p=0 Select a ⬤ from {⬤⬤⬤⬤⬤}
- p=1/36 Obtaing ⚂ ⚂ when rolling two dice.
Obtaing ⚂ ⚂ when rolling two dice.
Select a spade from{🂡🂱🃁🂾🃑🂪}
Select a ⬤ from {⬤⬤⬤⬤⬤}
p=1/36
p=0
p=1/3
p=3/5
Link the symbols with their meaning
Other Applications
From 100 days with the same weather conditions as tomorrow, 70 were rainy.
95 100
p=
Not working:
5 100
q=
Working:
Example 2: A vaccine has a 95% effectiveness rate. What's the probability that the vaccine works? And what is the probability of the vaccine not working?
Example 1: Weather forecast says in your neighborhood, there's a 70% chance of rain tomorrow. What does it mean in terms of proportions?
Let's see some examples:
3 12
p=
B: Basketball player S: Soccer player E={B,B,B,B,S,S,S} |E| = 7
|S| = 8 students
Click here to draw >
07:00
There are 8 students, 4 basketball players, 3 soccer players and 1 tennis player. Find the probability of selecting one soccer player or one basketball player.
Sports in a School
Summary
8TH-EXERCISES-ON-PROBABILITY-TRIALS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
See you next time
Great job!
A journey soon begin through Social Science experiences!
Welcome 6th graders!
Use the probability formula:
- Grid paper.
- Pencils of different colors.
- Eraser.
- A rule.
- A compass.
- A Protactor.
- A calculator.
- Geogebra installed on your phone/tablet/computer (or use online version).
MATERIAL
It is highly advised to have:
"MA.8.DP.2 Represent and find probabilities of repeated experiments." MA.8.DP.2.3 Solve real-world problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability. MA.K12.MTR.7.1 Apply mathematics to real-world contexts. MA.K12.MTR.6.1 Assess the reasonableness of solutions. ELA.K12.EE.2.1 Read and comprehend grade-level complex texts proficiently.
Denoted by |E|