Bob was enrolled in yoga classes for 1 year = 12 months
Answer:
1 /2
Step-by-step explanation:
Sample space of number cube : (1, 2, 3, 4, 5, 6)
Odd numbers on cube : (1, 3, 5) = 3 odd numbers
Since each roll of number cube is independent, the number of times it has landed between fire does not matter :
Therefore, probability of landing on a odd number is :
P = required outcome / Total possible outcomes
P = 3 / 6
P = 1/2
Age of Jen is 13.6 years old
<em><u>Solution:</u></em>
Let "x" be the age of Jack and "y" be the age of Jen
Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen
The above sentence can be written mathematically as:
Jack age + 2 = twice of age of Jen

The sum of Jacks age and three times Jen's age is 66
Jack age + three times Jen age = 66
x + 3y = 66 ---- eqn 2
Substitute eqn 1 in eqn 2
2y - 2 + 3y = 66
5y - 2 = 66
5y = 68
<h3>y = 13.6</h3>
Thus age of Jen is 13.6 years old
The total number of keys equals:
12 + 5 + 11 + 2 = 30 keys
The probability to pick a sliver key is:
12/30 = 2/5
The probability to pick a copper key is:
11/30
Hope that helps