Solved Examples and Worksheet for Probability of an Event Represented by a Number From 0 to 1
A. 1
B. 0
C.
D.
Step: 1
Number of students in the class is 40. So, the number of possible outcomes is 40.
Step: 2
Since all the students in the class are boys, number of favorable outcomes is 40.
Step: 3
Probability(event) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
[Formula]
Step: 4
P(boy) = 40 40
[Substitute the values.]
Step: 5
The probability that the student chosen is a boy is 1.
Correct Answer is : 1
A.
B.
C.
D.
Step: 1
Total number of possible outcomes is 52.
Step: 2
Number of favorable outcomes is 4.
Step: 3
Probability(event) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
[Formula.]
Step: 4
P(a Jack) = 4 52 1 13
[Substitute the values and simplify.]
Step: 5
The probability that the card chosen is a Jack is 1 13
Correct Answer is : 1 13
A.
B.
C. 1
D. None of the above
Step: 1
Number of purple marbles in the jar is 13. So, the number of possible outcomes is 13.
Step: 2
Since, all the marbles in the jar are purple, the number of favorable outcomes is 13.
Step: 3
Probability(event) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
[Formula.]
Step: 4
P(purple) = 13 13
[Substitute the values and simplify.]
Step: 5
The probability that the marble chosen is purple is 1.
Correct Answer is : 1
A.
B.
C.
D.
Step: 1
Number of favorable outcomes = 4.
[Since there are 4 black balloons.]
Step: 2
Number of possible outcomes = 8 + 4 = 12.
[Add the number of brown balloons and the number of black balloons.]
Step: 3
P(a black balloon) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
Step: 4
= 4 12 1 3
[Substitute and simplify.]
Step: 5
The probability of selecting a black balloon is 1 3
Correct Answer is : 1 3
A.
B.
C.
D.
Step: 1
Number of possible outcomes is 12.
[Count numbers 0 to 11.]
Step: 2
Number of favorable outcomes is 1.
Step: 3
Probability(event) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
[Formula.]
Step: 4
P(6) = 1 12
[Substitute the values.]
Step: 5
Probability of drawing the card numbered 6 is 1 12
Correct Answer is : 1 12
A. 1
B.
C.
D.
Step: 1
There are 10 numbers from 1 to 10. So, the number of possible outcomes is 10.
Step: 2
Number of favorable outcomes is 5.
[The even numbers are 2, 4, 6, 8 and 10.]
Step: 3
Probability(event) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
[Formula.]
Step: 4
P(even number) = 5 10
[Substitute the values.]
Step: 5
= 1 2
[Simplify.]
Step: 6
Probability of selecting an even number from the set of numbers from 1 to 10 is 1 2
Correct Answer is : 1 2
A.
B.
C.
D.
Step: 1
Total number of possible outcomes is 4.
Step: 2
Number of favorable outcomes = 3.
[There are 3 digits which are the multiples of 2.]
Step: 3
Probability(event) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
[Formula.]
Step: 4
P(digit which is a multiple of 2) = 3 4
[Substitute the values.]
Step: 5
Probability of selecting a digit, which is a multiple of 2, from the numbers 2, 7, 4 and 8 is 3 4
Correct Answer is : 3 4
A. 1
B.
C.
D.
Step: 1
Number of violet balls is 5. So, the number of possible outcomes is 5.
Step: 2
Since all the balls are violet, the number of favorable outcomes is 5.
Step: 3
Probability(event) = N u m b e r o f f a v o r a b l e o u t c o m e s N u m b e r o f p o s s i b l e o u t c o m e s
[Formula]
Step: 4
P(violet ball) = 5 5
[Substitute the values.]
Step: 5
= 1
[Divide]
Step: 6
The probability of getting violet ball is 1.
Correct Answer is : 1
A.
B. 3
C.
D. 1
Step: 1
Total number of ice creams is 5. So, the number of possible outcomes is 5.
Step: 2
Number of cone ice creams that Emily chose is 1. So, the number of favorable outcomes is 1.
Step: 3
The probability of Emily choosing one cone ice cream = n u m b e r o f c o n e i c e c r e a m s t o b e c h o s e n t o t a l n u m b e r o f c o n e i c e c r e a m s
Step: 4
= 1 5
[Substitute the values.]
Step: 5
So, the probability of Emily choosing one cone ice cream is 1 5
Correct Answer is : 1 5
A.
B.
C.
D.
Step: 1
There are 15 possible outcomes.
Step: 2
There are only 3 burgundy balls.
Step: 3
So, the probability of picking a burgundy ball is 3 15 1 5
Correct Answer is : 1 5
A.
B.
C.
D.
Step: 1
There are 52 possible outcomes.
Step: 2
There are 26 black cards in a deck of 52 cards.
Step: 3
So, the probability of selecting a card from the black suit is 26 52 1 2
Correct Answer is : 1 2
A.
B.
C.
D.
Step: 1
There are 19 possible outcomes.
Step: 2
There are only 6 mathematics books.
Step: 3
So, the probability of picking a mathematics book is 6 19
Correct Answer is : 6 19
A.
B.
C.
D.
Step: 1
There are 9 possible outcomes.
[There are 9 letters in the word.]
Step: 2
There is 1 'A' letter.
Step: 3
So, the probability of selecting A from the word SITUATION is 1 9
Correct Answer is : 1 9
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