Exercise 6D Use this Venn diagram to answer Questions 1 and 2. Members of youth club (U) Greg lays dhess bub nob darts or ala beris. Darts (D) Chess (C) David Sonia Clive Andy Gregs Tina Fatima Paula Table tennis (T) 1 Which members of the youth club play: (a) darts, chess and table tennis (b) darts and chess but not table tennis (c) chess (d) darts only (e) darts and table tennis but not chess () none of these three activities?
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![(132
SETS
U={whole numbers from 1 to 20}.
M- {multiples of 3},
F- (factors of 12} and
S- (square numbers}
(a) List the elements of M, F and S.
(b) Copy and complete the Venn diagram.
Whole numbers from 1 to 20 (U)
Multiples of 3 (M) Factors of 12 (F)
4.
Exercise 6D
Use this Venn diagram to answer Questions 1 and 2.
Members of youth club (U)
Chess (C)
Greg plays chess but
nob darts or tabls
Darts (D)
Andy
David
bereris.
Sonial
Clive
Gregg
Talld
Tina
Fatima
ती 15
wod b
Paula
Table tennis (T)
6.
Which members of the youth club play:
(a) darts, chess and table tennis
(b) darts and chess but not table tennis
(c) chess
(d) darts only
(e) darts and table tennis but not chess
() none of these three activities?
1
11
Square numbers (S)
(e) Use your completed diagram to write down:
O MOFOS
(1) MUFUS
(H1) MOF
(iv) SNF
(v) (MUFUS)'
(d) Describe the numbers which lie outside the
three sets M, F and S.
sep soler of om
ow
bed
y word he
2 Write down:
(a) DncnT
(b) DUCUT
(c) DnC
(d) CNT
(e) (DUCUT)
3 U-{letters of the alphabet}
A= {a, b, c, d, e, f).
B={v, o, w, e, 1, s} and
C={s, t, u, d, e, n}
(a) Copy and complete the Venn diagram.
als
duls
5 (a) Draw a Venn diagram to show the following
sets.
U={whole numbers from 1 to 20}
M- (multiples of 4)
S = (square numbers}
F = {factors of 16}
(b) Use your Venn diagram to write down:
O MOSNF
(H) MUSUF
(ii) (MUSUF)
(iv) (MnsnF)
(c) Describe in words each of the four subsets
part (b).
A
(b) From your completed diagram write down:
(1) ANBNČ
(lii) AUB
(v) (AUBUC)' (vi) (AUB) nc'
6 Use a Venn diagram to show the following sets,
U={whole numbers from 1 to 50}
T-(multiples of 3}
F-{multiples of 4)
V= {multiples of 51 h
(1) ANC
(Iv) ANB'
nadah el
3D
i olO weT bes,
di g
t o bon he ldopa ih o
(en(TU
afo bs fobupo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3dd625-bbe2-4484-a091-5e6a5b86975f%2F302462ff-5689-4942-950a-3f011c335037%2Ff7zqwhs_processed.jpeg&w=3840&q=75)
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