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Probability Worksheets - Page 7

Probability Worksheets
  • Page 7
 61.  
Find the probability of selecting a yellow ball from the glass container.


a.
2 out of 8
b.
3 out of 8
c.
7 out of 8
d.
3 out of 5


Answer: (b)


Correct answer : (2)
 62.  
A box contains dimes and pennies. Identify the probability of selecting a penny from the box.


a.
3 out of 9
b.
5 out of 9
c.
6 out of 9
d.
3 out of 6


Answer: (c)


Correct answer : (3)
 63.  
What is the probability of picking a square from the figure shown?

a.
1 13
b.
7 13
c.
2 13
d.
11 13


Answer: (c)


Correct answer : (3)
 64.  
Find the probability of picking a banana from the bag containing seven apples, two guavas, and two bananas as shown.

a.
1 out of 2
b.
2 out of 11
c.
2 out of 9
d.
1 out of 10


Answer: (b)


Correct answer : (2)
 65.  
What is the probability of picking a yellow colored shape?
Color of shapes Number of shapes
Blue5
Yellow4
Pink5
Brown7
Green5
Orange5


a.
1 4
b.
1 3
c.
4 27
d.
4 31


Answer: (d)


Correct answer : (4)
 66.  
When can the normal distribution be used as an approximation to the binomial distribution?
a.
n.p = 5, n.q = 5
b.
n.p ≤ 5, n.q ≤ 5
c.
n.p > 5, n.q < 5
d.
n.p ≥ 5, n.q ≥ 5


Solution:

The normal distribution can be used as an approximation to the binomial distribution only when n.p and n.q are both greater than or equal to 5.
So, n.p ≥ 5 and n.q ≥ 5.


Correct answer : (4)
 67.  
Say whether the normal distribution can be used as an approximation to the binomial distribution shown here.
n = 30 and p = 0.5
a.
cannot be determined
b.
true
c.
false


Solution:

A binomial distribution can be approximated by the normal distribution if n.p ≥ 5 and n.q ≥ 5.

Given, n = 30 and p = 0.5

q = 1 - p = 0.5

n.p = 30 × 0.5 = 15 > 5

n.q = 30 × 0.5 = 15 > 5

We see that both n.p and n.q are ≥ 5. So, the normal distribution can be used as an approximation to the binomial distribution.


Correct answer : (2)
 68.  
Say whether the normal distribution can be used as an approximation to the binomial distribution shown here.
n = 20 and p = 0.8
a.
false
b.
true
c.
cannot be determined.


Solution:

A binomial distribution can be approximated by the normal distribution if n.p ≥ 5 and n.q ≥ 5.

Given, n = 20 and p = 0.8

q = 1 - p = 0.2

n.p = 20 × 0.8 = 16 > 5

n.q = 20 × 0.2 = 4 < 5

We see that n.p > 5 but n.q < 5. So, the normal distribution should not be used as an approximation to the binomial distribution.


Correct answer : (1)
 69.  
Which one of these is impossible to be picked from the box shown?


a.
circle
b.
rectangle
c.
square
d.
triangle


Answer: (b)


Correct answer : (2)
 70.  
Which one of these is impossible to be picked from the set shown?


a.
shaded rectangle
b.
shaded square
c.
unshaded circle
d.
unshaded triangle


Answer: (c)


Correct answer : (3)

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