## How do you find the combination?

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! * (n – r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

13,983,816

## How do you find the number of possible outcomes?

The fundamental counting principle is the primary rule for calculating the number of possible outcomes. If there are p possibilities for one event and q possibilities for a second event, then the number of possibilities for both events is p x q.

## How do you find the probability of outcomes?

How to calculate probability

1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.

## What is possible outcomes?

Possible Outcomes – a list of all the resulting possibilities from an event. e.g. When rolling a die – all possible outcomes are 1, 2, 3, 4, 5, 6. 6. Favorable Outcome – the result that is desired. e.g. Roll a 4 on a die → 4 is the only favorable outcome.

## What are the chances of guessing a 3 digit code?

If you include the one and 2 digit integers with enough zeros prepended to make them 3 digit, then your possibilities range from 000 to 999, which would give you 1,000 different 3-digit integers. With that your chances of guessing the right one would be 1/1000 or 0.001.

## What are the chances of guessing a 10 digit code?

As a straightforward simple example, if you have a 10 digit (0-9) keypad that will unlock after a 4 digit PIN is entered (and this is known) then the chances are 1 in 10 4, or 1 in 10,000.

## What is the probability that you will get a 3 digit combination correct if no digits in the combination can be repeated?

What is the probability that you will get a 3-digit combination correct if no digits in the combination can be repeated? 1/10.

## What is the probability of guessing a 4 digit code?

How easy would it be for a thief to guess your four-digit PIN? If he were forced to guess randomly, his odds of getting the correct number would be one in 10,000—or, if he has three tries, one in 3,333.

## What is the probability that two digit number selected at random will be multiple of 3 and not a multiple of 5?

24 out of the 90 two digit numbers are divisible by ‘3’ and not by ‘5’.

## What is the probability of getting a two digit number from 1 to 30?

Therefore, the favorable cases are 30–6=24. >> Hence, the required probability is 24/90 = 4/15.

## What is the probability that a randomly chosen 2 digit number is divisible by 3?

Thus, there are 90 such numbers. Since out of these, 30 numbers are multiple of 3, therefore, the probability that a randomly chosen positive 2-digit integer is a multiple of 3, is 30/90 = 1/3.

## How many two digit numbers which are multiples of 3?

2 digit numbers which are multiples of 3: 12, 15, 18, 21, …, 90, 93, 96, 99. Consider this A.P. : a = 12, d = 3, 99 = 12 + (n- 1) (3) => n – 1 = 87/3 = 29 => n = 30. There are 30 multiples of 3 in all 2 digit numbers.