The probability of one outcome

Difficulty Stretch · Set dxpq7v

Give each probability as a fraction in its lowest terms.

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1
A bag holds 3 black counters and 8 yellow ones. One is taken without looking. What is the probability that it is black?
2
A bag holds 3 yellow counters and 8 red ones. One is taken without looking. What is the probability that it is yellow?
3
A bag holds 13 yellow counters and 12 black ones. One is taken without looking. What is the probability that it is yellow?
4
A bag holds 7 green counters and 16 red ones. One is taken without looking. What is the probability that it is green?
5
A bag holds 13 green counters and 5 red ones. One is taken without looking. What is the probability that it is green?
6
A bag holds 8 green counters and 6 blue ones. One is taken without looking. What is the probability that it is green?
7
A bag holds 4 red counters and 8 blue ones. One is taken without looking. What is the probability that it is red?
8
A bag holds 1 green counter and 11 yellow ones. One is taken without looking. What is the probability that it is green?
9
A bag holds 10 black counters and 5 yellow ones. One is taken without looking. What is the probability that it is black?
10
A bag holds 4 green counters and 9 black ones. One is taken without looking. What is the probability that it is green?
11
A bag holds 15 red counters and 10 black ones. One is taken without looking. What is the probability that it is red?
12
A bag holds 5 blue counters and 15 black ones. One is taken without looking. What is the probability that it is blue?
13
A bag holds 3 yellow counters and 10 red ones. One is taken without looking. What is the probability that it is yellow?
14
A bag holds 7 red counters and 16 black ones. One is taken without looking. What is the probability that it is red?
15
A bag holds 3 black counters and 14 yellow ones. One is taken without looking. What is the probability that it is black?
16
A bag holds 2 black counters and 14 green ones. One is taken without looking. What is the probability that it is black?
17
A bag holds 12 green counters and 15 black ones. One is taken without looking. What is the probability that it is green?
18
A bag holds 14 black counters and 6 green ones. One is taken without looking. What is the probability that it is black?
19
A bag holds 5 red counters and 9 black ones. One is taken without looking. What is the probability that it is red?
20
A bag holds 8 green counters and 15 red ones. One is taken without looking. What is the probability that it is green?

What is in this set

The numbers in this set run from 1 to 16.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: 13 is the rest of the bag, not the whole of it.
Answers are a fraction in its lowest terms, written like 3/4.

Drawing 240 problems from this page produced 237 different ones, 99% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 6 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.

Next to this

The probability it does not happen

Numbers 1–16; every one will ask for the outcome that does not happen.

How many of them to expect

Numbers 1–300.

All of probability

5 skills in this topic, 15 sets between them.

Printing it

The printed sheet carries no menus and no advertising, and the answer key is on its own page.