Question

11 multiple choice 2 points a box contains 6 dimes, 8 nickels, 12 pennies, and 3 quarters. what is the probability that a coin drawn at random is not a dime?

8/29
6/29
12/29
23/29

12 multiple choice 2 points a box contains six black balls and four white balls. what is the probability of selecting a black ball at random from the box?

4/6
6/4
1/10
6/10

13 multiple choice 2 points a bag contains 2 red marbles and 3 blue marbles. if one marble is drawn at random, what is the probability that it is red?

2/5
4/5
1/3
3/5

Explanation:

Step1: Calculate total number of coins for question 11

$6 + 8+12 + 3=29$

Step2: Calculate number of non - dime coins for question 11

$8 + 12+3 = 23$

Step3: Calculate probability for question 11

The probability of not drawing a dime is $\frac{23}{29}$

Step4: Calculate total number of balls for question 12

$6 + 4=10$

Step5: Calculate probability of selecting a black ball for question 12

The probability of selecting a black ball is $\frac{6}{10}$

Step6: Calculate total number of marbles for question 13

$2+3 = 5$

Step7: Calculate probability of drawing a red marble for question 13

The probability of drawing a red marble is $\frac{2}{5}$

Answer:

1. $\frac{23}{29}$
2. $\frac{6}{10}$
3. $\frac{2}{5}$