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Probability Worksheets - Page 4

Probability Worksheets
  • Page 4
 31.  
Fifteen cards labeled A through O are placed in a bag. The bag is shaken and one card is drawn at random. Find the odds in favor of drawing a vowel.
a.
11 : 4
b.
1 : 2
c.
4 : 11
d.
5 : 11


Solution:

Odds in favor of getting a vowel are 4 : 11
[ Four of the outcomes are successes and 11 outcomes are failures.]


Correct answer : (3)
 32.  
A coin is tossed. Write the sample space.
a.
{T}
b.
{H, T}
c.
{ }
d.
{H}


Solution:

Each outcome is a head (H) or a Tail (T)

Sample space, S = {H, T}.


Correct answer : (2)
 33.  
When a die is rolled, specify the event of getting an odd number.
a.
{4, 5, 6}
b.
{1, 3, 5}
c.
{1, 2, 3, 4, 5, 6}
d.
{1, 2, 3}


Solution:

There are three odd numbers: 1, 3, 5, when a die is rolled.


Correct answer : (2)
 34.  
A die is rolled. Find the probability of an event getting an even number.
a.
1 4
b.
1 3
c.
1 2
d.
1 6


Solution:

P(getting an even number) = 3 / 6 = 1 / 2
[There are three even numbers 2, 4, 6.]


Correct answer : (3)
 35.  
A die is rolled. Find the probability of getting 3 or 6.
a.
1 3
b.
1 2
c.
1 6
d.
1 4


Solution:

P(getting 3 or 6) = 2 / 6 = 1 / 3
[There are 2 ways to roll one of these numbers.]


Correct answer : (1)
 36.  
A die is rolled. Find the probability of getting a number 8.
a.
1 6
b.
1
c.
1 3


Solution:

P(getting 8) = 0 / 6 = 0
[There is no way to get an 8.]


Correct answer : (2)
 37.  
Two coins are tossed. Find the probability of getting 2 tails.
a.
1
b.
1 4
c.
1 2


Solution:

Sample space, S = {(H, H), (H, T), (T, H), (T, T)}

P(getting exactly 2 tails) = 1 / 4
[There is only one way to get 2 tails: (T, T).]


Correct answer : (2)
 38.  
Three coins are tossed. Write the number of elements in the sample space.
a.
4
b.
6
c.
2
d.
8


Solution:

Sample space, S = {(H, H, H), (H, H, T), (H, T, H), (T, H, H), (H, T, T), (T, H, T), (T, T, H), (T, T, T)}

Number of elements in sample space is 8.


Correct answer : (4)
 39.  
Find the probability of getting exactly 2 heads when 3 coins are tossed.
a.
1 2
b.
1 4
c.
3 8
d.
7 8


Solution:

Sample space, S = {(H, H, H), (H, H, T), (H, T, H), (T, H, H), (H, T, T), (T, H, T), (T, T, H), (T, T, T)}

There are 3 ways to get exactly 2 heads: (H, H, T), (H, T, H), (T, H, H).

P (getting exactly 2 heads) = 3 / 8


Correct answer : (3)
 40.  
Find the probability of getting more than one head, when 3 coins are tossed.
a.
7 8
b.
3 8
c.
1 8
d.
1 2


Solution:

Sample space, S = {(H, H, H), (H, H, T), (H, T, H), (T, H, H), (H, T, T), (T, H, T), (T, T, H), (T, T, T)}

There are 4 ways to get more than one head: (H, H, T), (H, T, H), (T, H, H), (H, H, H)

P (getting more than one head) = 4 / 8 = 1 / 2


Correct answer : (4)

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