Learning Task #1: Find the probability of the following problems.A bowl contains...

Questions

August 2022 1 3 Report

Learning Task #1: Find the probability of the following problems.
A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is the probability that it is
1. 7 or 15?
2.5 or a number divisible by 3?
3. even or divisible by 3?
4. a number divisible by 3 or divisible by 4?
5. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks one marble at
random, what is the probability that he selects a red marble or a yellow marble?

Answers & Comments

misscheska

Verified answer

PROBABILITY

1. The probability of 7 or 15 is 2/15.

Explanation:

Because the chips only have one label 7, the probability is 1/15.

Because the chips only have one label 15, the probability is 1/15.

When the probabilities of 7 and 15 are added, the answer is 2/15.

Solution:

$\frac{1}{15}+\frac{1}{15}=\frac{2}{15}$

2. 5 or a number divisible by 3 has a probability of 2/5.

Explanation:

The probability is 1/15 due to the fact that there is only one label 5 in the chips.

The list of numbers that is divisible by 3 fro 1-15 are 3,6,9,12 and 15. So there are 5 numbers and the probability is 5/15 if we simplify it will become 1/3.

By adding the probability of 5 and the number divisible by 3 the answer is 2/5

Solution:

$\frac{1}{15}+\frac{5}{15}=\frac{6}{15}=\frac{2}{5}$

3. The Probability of an even number and a number divisible by 3 is 2/5.

Explanation:

-The list of even numbers from 1-15 are 2,4,6,8,10,12,14. There are 7 numbers so the probability is 7/15.

-The list of numbers that is divisible by 3 from 1-15 are 3,6,9,12 and 15. So there are 5 numbers and the probability is 5/15 if we simplify it will become 1/3.

- There are numbers that are even and numbers that are divisible 3 which must be eliminated. The numbers are 6 and 12, therefore the probability is 2/15.

By adding the Probability of an even number a

$\frac{7}{15}+\frac{5}{15} =\frac{12}{15}-\frac{2}{15}=\frac{10}{15} =\frac{2}{3}$

4. The Probability of A number divisible by 3 and divisible by 4 is 7/15

Explanation:

The list of numbers that is divisible by 3 from 1-15 are 3,6,9,12 and 15. So there are 5 numbers and the probability is 5/15 if we simplify it will become 1/3.
The list of numbers that is divisible by 4 from 1-15 are 4,8 and 12. There are 3 numbers so the probability is 3/15.