Can someone please explain Mathematical Probability?

Probability means the chance or likelihood of an event happening.

Out of all the possible events, a certain event has a probability of happening. If it has no possibility of happening (i.e. impossible) the probability is zero. If it is certain to happen, the probability is 1.

Thus all probability values lie between 0 and 1.

In the case of the colored balls, there are 9 green balls, and a total of 28 balls (of all colors). So if he picks one ball at random the probability of drawing a green ball is 9/28. The prob of drawing a red one is 5/28.

You can also write these as 9 in 28 and 5 in 28. You can also write them as decimals.

And that is the mathematical equation. Actually it is not an equation but a simple fraction.

At this level, we say:

P = (number of favourable outcomes) / (number of possible outcomes)

So when we're looking for the probability of a green gum ball, the favourable outcome is pulling out a green gum ball.

P = 6 / (6 + 5 + 8 + 9)

(6 green gum balls, 6+5+8+9 total gum balls)

So P = 6 / 28 = 3 / 14

There are 6+5+8+9 = 28 total gumballs, and 9 of them are green, so there will be a 9/28 chance that he will pick a green one.

there are 28 gum balls in total

there are 9 green ones

therefore the probability of randomly selecting a green gumball is

9/28

he has 9 chances of getting the green one out of a possible 28 gum balls

try~

6 yellow

5 red

8 blue

9 green

28 in total~of which

the 6 yellow are 21%0f total

the 5 red are 18% of total

the 8 blue are 28% of total

the 9 green are 32% of total

the totals are to the nearest whole number ~thus they only add up to 99%

so using these %'s

john would (in theory) get a green ball 32% of the time(approx 1 third of the time)

so john would get a green ball on average on every third "dip " in the bag

or you could say he as a 1in 3 chance of getting a green ball

hope this helps

There are 28 balls in all.

The mathematical equation of choosing a green ball is or probability of choosing a green ball is:

number of green balls / Total number of balls = 9 / 28

The mathematical equation of choosing a red ball is or probability of choosing a red ball is:

number of red balls / Total number of balls = 5 / 28

probability = favorable number of cases / Total number of cases

P(Event happening) = Number of that event/Total no. of events

P(A) = n(A)/n(Total) = n(Green)/n(All colours) = 9/(6 + 5 + 8 + 9)

P(Green) = 9/28