Solve Basic Probability Problems

Introduction:

Probability is one of the important topic in intermediate and college mathematics. Probability plays an important role in the day to day life. It is way of expressing that an event will occur or has occurred. It is also defined as the possible outcomes to the total number of events.

A probability of an event A occurred is represented by a real number in the range from 0 to 1 and written as P(A), p(A) or Pr(A). The probability of impossible event is given as 0, and a certain event has a probability of 1. However, the conversations are not always true: probability 0 events are not always impossible, nor probability 1 events certain. Basic proabbility problems are easy to solve. When the concept of basic probability is understood very well, then it is easy to solve those problems.

Examples problems for basic probability:

Basic probability Problem 1:

What is the probability of rolling a 3 on a dice?

Solution:

Here the number of possible out comes on the event is 6
The number of outcomes in rolling a dice is 3
Solve for the probability,

number of outcomes in Event
Prob(E) = --------------------------------------------------------------------
Total number of possible outcomes of the event

Prob(E) = 3/6

Prob(E) = 1/2

Basic probability problem 2:

What is the probability of selecting card of hearts from a deck of 52 cards?

Solution:

The total number of cards in a deck is 52
The number of cards of hearts fro a deck of cards is 13
Solve for the probability,

number of outcomes in Event
Prob(E) = ----------------------------------------------------------------------
Total number of possible outcomes of the event

Prob(E) = 13/52

Prob(E) = 1/4

Basic probability problem 3:

What is the probability of selecting number 9 from a deck of 52 cards?

Solution:

The total number of cards in a deck is 52
The number 9 from a deck of cards is 4
Solve for the probability,

number of outcomes in Event
Prob(E) = ----------------------------------------------------------------------
Total number of possible outcomes of the event

Prob(E) = 4/52

Prob(E) = 1/13

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Basic probability problems practice:

What is the probability of rolling a 3 on a dice?

Answer:

The answer is 6/6 = 1

2) What is the probability of selecting two balls from a basket containing 20 balls?

Answer:

The answer is 2/20 = 1/10.