Chapter 11 Probability Worksheet Page 26
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28292
PROBABILITY (Chapter 11)
An examination in French has two parts: aural and written. When 30 students sit for
4
the examination, 25 pass aural, 26 pass written, and 3 fail both parts. Determine the
probability that a student who:
a
passed aural also passed written
b
passed aural, failed written.
In a small country there are 3 supermarkets: P, Q and R. 60% of the population shop at
5
P, 36% shop at Q, 34% shop at R, 18% shop at P and Q, 15% shop at P and R, 4% shop
at Q and R, and 2% shop at all 3 supermarkets. A person is selected at random.
Determine the probability that the person shops at:
a
none of the supermarkets
b
at least one of the supermarkets
c
exactly one of the supermarkets
d
either P or Q
e
P, given that the person shops at at least one supermarket
f
R, given that the person shops at either P or Q or both.
Marius has 2 bags of peaches. Bag A has 4 ripe and 2 unripe peaches, and bag B has
6
5 ripe and 1 unripe peaches. Ingrid selects a bag by tossing a coin, and takes a peach
from that bag.
a
Determine the probability that the peach is ripe.
b
Given that the peach is ripe, what is the probability it came from B?
7
When Sophia goes to the local shopping centre from Monday to Thursday, the probability
that she finds a car park is 95%. When she goes on Friday or Saturday, the probability
of finding a car park is 70%. Assuming that she is equally likely to shop on any day
from Monday to Saturday, determine the probability that:
a
she finds a car park
b
it is Saturday, given that she finds a car park.
On a given day, Claude’s car has an 80% chance of starting first time and Andr ´ e ’s car
8
has a 70% chance of the same. Given that at least one of the cars has started first time,
what is the chance that Andr ´ e ’s car started first time?
WHAT ARE YOUR SURVIVAL PROSPECTS?
LINKS
Areas of interaction:
click here
Community service/Health and social education
REVIEW SET 11A
1 Donna kept records of the number of clients she
number of days
12
interviewed over a period of consecutive days.
9
a For how many days did the survey last?
b Estimate Donna’s chances of interviewing:
6
i no clients on a day
3
ii four or more clients on a day
0
1
2 3
4
5
6 7
iii less than three clients on a day.
number of clients
2 Illustrate on a 2-dimensional grid the possible outcomes when a coin and a pentagonal
spinner with sides labelled A, B, C, D and E are tossed and spun simultaneously.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education