Probability

Answer

A random experiment is an experiment in which: • All possible results are known in advance • None of the results can be predicted with certainty • Each result has equal possibility of occurring Examp

Answer

An outcome is the result of a random experiment. Examples: • Tossing a coin: Outcomes are Head (H) or Tail (T) • Throwing a die: Outcomes are 1, 2, 3, 4, 5, or 6 • Drawing a card from 1-50: Outcomes

Answer

Outcomes are equally likely if none of them occurs in preference to others. Each outcome has the same chance of happening. Example: When tossing a fair coin, getting Head or Tail are equally likely o

Answer

Sample Space is the set of all possible outcomes of a random experiment. Notation: S or Ω (Greek letter Omega) Each element of sample space is called a sample point. The number of elements in S is d

Answer

When two coins are tossed: S = {HH, HT, TH, TT} n(S) = 4 Where: • HH = both coins show heads • HT = first coin heads, second coin tails • TH = first coin tails, second coin heads • TT = both coins sh

Answer

When a die is thrown: S = {1, 2, 3, 4, 5, 6} n(S) = 6 Each number represents the dots on the upper face of the die that can appear.

Answer

When two dice are thrown: S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4),

Answer

An Event is a set of favourable outcomes from the sample space. It is a subset of the sample space. Events are denoted by capital letters A, B, C, D etc. The number of elements in event A is denoted