Probabilites and combinations are very difficult for me understand because i always keep forgetting what they mean.
lets start with some basic examples.
__ Example 1: __
What is the probality that we will get
head when we flip the coin
formula 1 P(h) = No. of posssible outcomes that meat our condition/ All possible conditions
P(h) = 1/2(head+tail)
__ Example 2: __
What is the posssibity that we will get number less than 4 when roll a dice.
p(answer) = 3(that can be 1, 2 and 3 on the dice)/ 6(total outcome of dice)
__ Example 3: __
There are some cases we need van-diagram to solve the problem like ** Scenerio ** if there are 4 red dice, 3 red cube and 4 yellow cube then
What is the probality to get red cube
P = 3/11
__ Example 4: __ compound outcome
You’re playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won’t be a hobbit or use an umbrella?
There are \blue 3 character choices and \pink 5 choices for the tool, so there are \blue3\times\pink5=3×5=15 total possible combinations. If we pick randomly, all the combinations are equally likely. here are 8 favorable combinations.
P = 8/15
__ Example 5: __
There are some question needed tree view like this.
One more question for the practice