Grade 10 - Probability

(Sample Online worksheet)

Choose correct answer(s) from given choice

1)6 coins are tossed in parallel. What is the probability of getting at least one heads?
a.  
48
64
 
b.  
1
64
 
c.  
63
64
 
d.  
8
64
 
2)From a deck of cards, Joseph took out one card at random. What is the probability that he got a prime number?
a.  
1
13
 
b.  
6
13
 
c. 1 d.  
4
13
 
3)Coin A is flipped 4 times and coin B is flipped 5 times. What is the probability that the number of heads obtained from flipping the two coins is the same?
a.  
63
256
 
b.  
67
256
 
c.  
65
258
 
d.  
65
256
 
4)If a prime number is less than 29, what is the probability that it is also less than 19.
a. 8/9 b. 7/10
c. 7/9 d. 2/3
5)A tyre manufacturer keeps the record of how much distance the tyres manufactured by the company travel before failing. They find the following data
Distance traveled in kilometersNumber of failing tyres
Less than 5000 100
5000 to 10000 240
10001 to 20000 260
20001 to 40000 560
More than 40000 840

If Barbara buys a tyre from them, what is the probability that it will last more than 20000 kilometers?
a.  
1400
2000
 
b.  
1417
2000
 
c.  
1361
2000
 
d.  
1390
2000
 
6)Elizabeth draws 3 cards out of a deck of 52 cards. What is the probability that she draws a 7, a Queen, and a Jack?
a.  
4
52
 
b.  
3
52
 
c.  
256
22100
 
d.  
64
22100
 
7)A bag contains 3 red balls, 4 blue balls, and 9 green balls. Joseph draws 2 balls out of the bag. What is the probability that he gets a green ball and a blue ball?
a.  
36
136
 
b.  
36
120
 
c.  
35
136
 
d.  
37
127.5
 
8)The letters of the word MATHEMATICS are rearranged in a random order. What is the probability that the letters have exactly 4 letters between them?
a.  
16
105
 
b.  
18
120
 
c.  
12
110
 
d.  
9
120
 
9)Thomas is participating in a race. The probability that he will come first in the race is 0.2. The probability that he will come second in the race is 0.1. The probability that he will come in 3rd is 0.55, and the probability that he will be 4th is 0.15. What is the probability that he will win 2nd position or better in the race?
a. 0.35 b. 0.25
c. 0.3 d. 0.4
10)Lisa and Sharon each have a bag that contains one ball each of the colors orange, blue, pink, red, white and yellow. Lisa randomly selects a ball from her bag and puts it in Sharon's bag. Then Sharon randomly selects a ball from her bag and puts it in Lisa's bag. What is the probability that after this the contents of the bag are the same as before?
a.  
2
9
 
b.  
2
7
 
c.  
1
7
 
d.  
4
5
 
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