﻿ Basic Probability Worksheet | Problems & Solutions Basic Probability Worksheet

Basic Probability Worksheet
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1.
The alphabets of the word 'MISSISSIPPI' are placed in a bowl. Which alphabet is least likely to be picked?  a. I b. S c. P d. M

Solution:

Number of times S and I occured in the word MISSISSIPPI is 4.

Number of times M occured in the word MISSISSIPPI is 1.

Number of times P occured in the word MISSISSIPPI is 2.

The alphabet that is least likely to be picked is the one which occurs least number of times.

So, alphabet which is least likely to be picked is M.

2.
Shane's collection has 12 nickels, 24 pennies, 35 quarts and 45 dimes. If Shane picks a coin randomly, which of these can be picked most likely? a. dime b. nickel c. penny d. quart

Solution:

Number of nickels in Shane's collection = 12

Number of pennies in Shane's collection = 24

Number of quarts in Shane's collection = 35

Number of dimes in Shane's collection = 45

Dimes are the highest in Shane's collection.

So, the coin which is most likely to be picked is dime.

3.
Which number is the spinner most likely to land on when spun once?  a. 1 b. 2 c. 3 d. 4

Solution:

In the given spinner, 2 occurs more number of times than the numbers 1, 3 and 4.

So, the most likely outcome in the spinner is 2.

4.
Which spinner is most likely to land on Blue?  a. Spinner 3 b. Spinner 4 c. Spinner 1 d. Spinner 2

Solution:

In spinner 1, Blue is exactly 50 percent.

In spinner 2, Blue is less than 50 percent.

In spinner 3, Blue is exactly 25 percent.

In spinner 4, Blue is more than 50 percent.

So, Spinner 4 is most likely to land on Blue.

5.
A bag contains 3 yellow, 1 green, 4 red, and 2 pink marbles. Wilma picks a marble from the bag. Which color is she most likely to pick? a. green b. pink c. yellow d. red

Solution:

Since red colored marbles are more in number than any other color, the probability that a red colored marble will be picked is more.

So, a red colored marble is most likely to be picked.

6.
If the spinner shown is spun once, what color is it least likely to stop on?  a. yellow b. green c. pink d. red

Solution:

The spinner is divided into 5 sections. These five sections are not of equal area.

The yellow section is of smaller area. So, the spinner is least likely to land on the yellow section.

7.
The tally chart shows the number of each kind of fruits present in a basket. If Fred picks one fruit from the basket without looking, which fruit is most likely to be picked?  a. orange b. banana c. apple d. mango

Solution:

Since apples are more in number compared to the others, the probability that an apple will be picked is more.

So, an apple is most likely to be picked.

8.
Lydia has a total of 87 crayons in a bag. The table shows the color and the respective number of crayons that she has. If Lydia picks a crayon from the bag without looking, which crayon is she most likely to pick?
 Color of the crayon Number of Crayons Red 15 Blue 23 Yellow 21 White 28 a. yellow b. blue c. red d. white

Solution:

Since white colored crayons are more in number than any other color, the probability that a white colored crayon will be picked is more.

So, white colored crayon is most likely to be picked.

9.
The chart below sorts the number of students participating in a math quiz. If Mr.Smith selects a student at random, then the student of which age is least likely to be chosen?
 Age Number of Students 12 13 13 29 14 9 a. 14 years b. 13 years and 14 years c. 13 years d. 12 years

Solution:

Since the number of students whose age is 14 years are less in number compared to others, the probability that a student selected is of 14 years is less.

So, a student aged 14 years is least likely to be choosen.

10.
From a box containing 3 red, 1 brown, 6 black and 20 burgundy marbles, a marble is picked at random. Which marble is most likely to be picked? a. burgundy marble b. red marble c. brown marble d. black marble

Solution:

Since the maximum number of marbles are burgundy in color, the chance of picking a burgundy marble is more than the chance of picking any other marble.

So, a burgundy marble is most likely to be picked.