# Number Possibility Calculator

Number Possibility Calculator

Probability is the possibility of the occurrence of an event of an experiment. An event is one or more possible outcomes of an experiment. Probabilities occurs always numbers between 1 and 0.

`"P(E)" = "Number of favorable outcomes" / "Total number of outcomes" `

For example, rolling a fair die, the possible outcomes are {1, 2, 3, 4, 5, 6}. So, possibility of getting 6 is `1/6` . In this article we will see about how to find the probability using calculator
Number Possibility Calculator - Example Problems

Probability(Possibility) Calculator

Steps to find the probability of occurring an event are:

1) Enter the number of possible outcomes

2) Enter number of events occurs in A

3) Enter number of events occurs in B

4) Click the calculate button to get the answers.

Example 1: If 2 balls are picked at random from a bag of 8 blue and 9 yellow balls, what is the probability of getting that both are same kind?

Solution:

Let S be the sample space, S = 8 + 9 = 17.

n(S) = C(17, 2) = `(17!)/(2!xx17!) ` = `(17xx16)/(2xx1)` = `272/2` = 136

Let A be the event of getting 2 blue, A = 8.

B be the event of getting 2 yellow balls, B = 9.

n(A) = C(8, 2) = `(8!)/(2!xx6!) ` = `(8xx7)/(2xx1)` = 28

n(B) = C(9, 2) =` (9!)/(2!xx7!) ` = `(9xx8)/(2xx1)` = 36

P(A) =`(n(A))/(n(S)) ` = `28/136 = 0.2`

P(B) = `(n(B))/(n(S))` = `36/136 = 0.26`

P(A or B) = P(A) + (B) = 0.2 + 0.26 = 0.46

P(2 blue or 2 yellow balls) = 0.46.

Example 2: Find the probability of picking a pineapple and a banana from a bag of 5 pineapples and 8 bananas, without replacement?

Solution:

Let S be the sample space, n(S) = 5 + 8 = 13.

A be the event of picking a pineapple, n(A) = 5.

B be the event of picking a banana, n(B) = 8.

P(A) =`(n(A))/(n(S)) ` = `5/13 = 0.38`

P(B) = `(n(B))/(n(S))` = `8/12 = 0.67`

P(A and B) = P(A) x (B) = 0.38 x 0.67 = 0.254

P(Pineapple and Banana) = 0.254.
Number Possibility Calculator - Practice Problems

Problem 1: If 2 balls are picked at random from a bag of 9 blue and 12 yellow balls, what is the probability of getting that both are same kind?

Problem 2: Find the probability of picking a pineapple and a banana from a bag of 6 pineapples and 9 bananas, without replacement?