Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0. An event with a probability of 1 can be considered a certainty
How to Calculate Probability Solution?
To calculate probability, you need to know how many possible options or outcomes there are and how many right combinations you have
Probability = Possible Choice
Total Number of Options
Example 1:
There are six possible scores on one die: {1, 2, 3, 4, 5, 6}
Of these, three are even: {2, 4, 6} and three are odd: {1, 3, 5}
the tree diagram shows
probability that one number is even and the other is odd
Example 2:
Number of ways it can happen: 4 (there are 4 blues)
Total number of outcomes: 5 (there are 5 marbles in total)
So the probability = 4/5 = 0.8
A packet contains a large number of flower seeds which look identical, but produce flowers with one of the three colors; white, yellow and red. One half of the seeds produce white flowers and one third produce yellow flowers. The remainder of the seeds produce red flowers.
a. Find the probability that a particular seed will produce a red flower.
b. Find the probability that a particular seed will produce a flower that is not yellow.
Two dice are thrown together.
Use a tree diagram to find the probability that one number is even and the other is odd.
Use a tree diagram to find the probability that one number is even and the other is odd.
Of these, three are even: {2, 4, 6} and three are odd: {1, 3, 5}
the tree diagram shows
A man goes to work either by bus. The probability of bring late for works is 0.6 if he travals in two successive days.
a) find the probability that he will be late
i) (L & L1)
0.6 X 0.6
=0.36
II) On exactly one of the two days
(L & L1) or (L1 & L)
(0.6 X 0.4) + (0.4 X 0.6)
0.24 + 0.24
= 0.48
0.6 X 0.6
=0.36
II) On exactly one of the two days
(L & L1) or (L1 & L)
(0.6 X 0.4) + (0.4 X 0.6)
0.24 + 0.24
= 0.48
Example 3:
5 marbles in a bag: 4 are blue, and 1 is red. What is the probability that a blue marble gets picked?
Number of ways it can happen: 4 (there are 4 blues)
Total number of outcomes: 5 (there are 5 marbles in total)
So the probability = 4/5 = 0.8
Questions for Probability.
Question 1: Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then folded, put in a hat, and mixed thoroughly.
One piece of paper is chosen (without looking) from the hat. What is the probability it is an I?
One piece of paper is chosen (without looking) from the hat. What is the probability it is an I?
A. 4/11 B. 2/5
C. 1/3 D. 1/4
Question 2:A packet contains a large number of flower seeds which look identical, but produce flowers with one of the three colors; white, yellow and red. One half of the seeds produce white flowers and one third produce yellow flowers. The remainder of the seeds produce red flowers.
a. Find the probability that a particular seed will produce a red flower.
b. Find the probability that a particular seed will produce a flower that is not yellow.
Question 3
A glass jar contain 6 red, 5 green, 8 blue and 3 yellow marbles. if a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a blue marble? a yellow marble?
A glass jar contain 6 red, 5 green, 8 blue and 3 yellow marbles. if a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a blue marble? a yellow marble?
No comments:
Post a Comment