﻿ Probability | Mathematics Form 3

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#### Probability - Mathematics Form 3

PROBABILITY SPACE
Audio
DEFINATION: The list of all possible outcomes of an experiment is called a probability space, or possibility space, or sample space.

ANIMATION

a). Make the animation that gives the probability space when clicked on.

 NO. OF TIMES THE COIN IS TOSSED PROBABILITY SPACE 1 2 3

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b). Repeat the instruction on a). Above when a die is tossed
i). Once

 FACE APPEARING ON TOP OF THE DIE PROBABILITY SPACE 1 2 3 4 5 6

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ii). Twice

 FACE APPEARING ON TOP 1 2 3 4 5 6 1 2 3 4 5 6

c). repeat the instruction on a). above when a card is picked from a pack of 52 playing cards.

A PACK OF 52 CARDS

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EXAMPLES

Jane tossed a coin once. Find the probability of getting

1/2

P (H) =

1/2

ii). Tail
P (T) =   11/21

0

P(HT)=

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1/6

2.A six faced die is tossed is tossed once. Find the probability of getting
i). P(1)=

1/6

ii). P(5)=

3/6 = 1/2

iii). P(Odd number )=

3/6= 1/2

iv). P(Even number )=

0/6=0

v). (1 or 5 together)=

1/6 +1/6 = 2/6 = 1/3

vi). (1or 5) =

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3.Adeck has 52 cards distributed as shown in the table below.

 SPADE DIAMOND HEARTS FLOWER TOTAL 2 1 1 1 1 4 3 1 1 1 1 4 4 1 1 1 1 4 5 1 1 1 1 4 6 1 1 1 1 4 7 1 1 1 1 4 8 1 1 1 1 4 9 1 1 1 1 4 10 1 1 1 1 4 ACE 1 1 1 1 4 JACK 1 1 1 1 4 QUEEN 1 1 1 1 4 KING 1 1 1 1 4 TOTAL 13 13 13 13 52

Example 3

Use the given table of a deck of cards to answer the questions below.

A card is drawn from a well shuffled ordinary pack of cards. Find the probability of drawing

a) a diamond; b) a red card; c) a queen; d) a 3 of hearts

Solution

a) The number of diamonds in the pack are 13

P (diamond) = 13/52 = 1/4

b) In the pack of 52 the red cards are hearts and diamonds. The hearts are 13 and the diamond cards

P(red card) = 26/52 = 1/2

c) The number of gueens are 4

P(queens) = 4/52 = 1/13

d) The number of hearts are 13 out of 52

P(3 hearts) = 1/52

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