Probability+-+Matt

8.1 Describing Probability
Probability is about how much chance something is to happen. We use words to describe how likely something is to happen. The words on the scale below are arranged in order from impossible on the bottom to certain at the top.



What is the likelihood of the following?
 * Example 1:**

**A**. tossing a coin and it falls on Heads. .......Answer: Even chance

**B**. Rolling a dice and it falls on a six. ...........Answer: Very unlikely

**C**. that the sun will rise tomorrow. ................Answer: Certain


 * Example 2:**

For the spinner, what is Probabiltity of landing on the blue section? Answer: very unlikely

8.2 Experimental probability
====The experimental probability of an event occurring is the proportion of times that it occurs in the long run. The experimental probability can be found by using the formular probability = the number of times the event occurs ÷ the total number of trials.====

In a experiment you will toss a coin 200 times recording how many times it lands on heads. You will need to stop after every ten tosses to update the table.

 * ===Number of tosses=== || ===Number of heads=== || ===Proportion of heads=== ||
 * 10 ||  ||   ||
 * 20 ||  ||   ||
 * 30 ||  ||   ||

In an experiment you roll a dice 10 times to find out the probability of each number is to be rolled**.**

 * ====**Outcome**==== || ====**Tally**====

|| ====**Frequency**====

||
 * 1 ||  ||   ||
 * 2 ||  ||   ||
 * 3 ||  ||   ||
 * 4 ||  ||   ||
 * 5 ||  ||   ||
 * 6 ||  ||   ||

8.4Theoretical probability
====The theoretical probability can only be calculated if the outcomes are equaly likely to happen. It can be found by dviding the number of the outcome or outcomes that you want to find by the number of possible outcomes====

**5** A spinner with eight sections with different colours is spun 30 times. complete the table below by calculating the frequency.

 * outcome || tally || frequency ||
 * blue || 5 ||  ||
 * yellow || 4 ||  ||
 * green || 4 ||  ||
 * red || 2 ||  ||
 * orange || 6 ||  ||
 * white || 4 ||  ||
 * black || 1 ||  ||
 * purple || 4 ||  ||

**6** In a experiment you tossed a coin 50 times recording how many times it lands on tails. find out how it's proportion.

 * ===Number of tosses=== || ===Number of tails=== || ===Proportion of tails=== ||
 * 10 || 4 ||  ||
 * 20 || 11 ||  ||
 * 30 || 15 ||  ||
 * 40 || 23 ||  ||
 * 50 || 29 ||  ||

**5**

 * outcome || tally || frequency ||
 * blue || 5 || 0.1667 ||
 * yellow || 4 || 0.1334 ||
 * green || 4 || 0.1334 ||
 * red || 2 || 0.0667 ||
 * orange || 6 || 0.2 ||
 * white || 4 || 0.1334 ||
 * black || 1 || 0.0334 ||
 * purple || 4 || 0.1334 ||

**6**

 * ===Number of tosses=== || ===Number of tails=== || ===Proportion of tails=== ||
 * 10 || 4 || 0.4 ||
 * 20 || 11 || 0.55 ||
 * 30 || 15 || 0.5 ||
 * 40 || 23 || 0.575 ||
 * 50 || 29 || 0.58 ||