Indholdsfortegnelse
Question 1 - Explain the concept of Probability
Question 2 - Explain the concept of conditional Probability
Question 3: Explain briefly the concepts of permutations and combinations.
- Your cell phone uses eight digits for calling, the first excludes zero.
- In Australia 4% of the population have the blood type AB and 15 % are rhesus negative. These two types are independent of each other – the blood type ABO and being rhesus positive or negative.
Optimer dit sprog - Læs vores guide og scor topkarakter
Uddrag
Probability is a mathematical expression that expresses the likelihood of something occurring.
The probability of something happening, happens between 0-1, when its 0 it is impossible to happen, whereas if its 1 it will happen.
An example of this could be flipping a coin. The chance of getting heads while flipping a coin is 0,5, since it is one outcome out of two possibilities.
The formula for this is P(H) = 0,5.
When doing probability, we have something called events. An event with only one possible outcome is called a single event.
For example, the possibility of rolling a 3 on a die is P (3) = 1/6. Events can either be independent or dependent. If the events are independent, it doesn't matter if they are single or multiple events.
The possibility of rolling a 3 on a die is still P (3) = 1/6. As the previous outcome doesn't affect the present outcome.
When events are dependent the probability of one event is determined by the probability of another.
Assume we have a bag with 2 green and 2 white balls in it. If we take two balls from the bag, the possibility of the second one being white is determined by the color of the first ball picked.
When we choose the second ball and let's say the first ball was white, there will be one white and 2 green balls left in the bag.
So, there's a 1 out of 3 chances of grabbing a blue. However, if the first ball was green, there will be one green and two white balls left in there, giving the second ball a 2/3 chance of being white.
A way of displaying 2 or more events is by doing a tree diagram. A tree diagram is a way of showing the combination of 2 or more events in a structured and organized way.
For example, a bag contains 3 balls, which are red, blue, and yellow the first ball can be any of the three colors.
Each of these has a 1 out of 3 chances of happening. Let's say that the red ball is chosen, there will be two remaining balls: yellow and blue.
The odds of the next ball being yellow are 1 out of 2, which are the exact same odds as the blue ball being picked second. What it looks like in a tree diagram can be seen below.
Skriv et svar