Question

A bag contains two white blocks, one red block, and three purple blocks. You choose one block from the bag.

1. What is the sample space of picking a block from this bag?

2. Find each probability.

a. P(white) =

b. P(red) =

c. P(purple) =

3. What is the probability of ​not​ choosing a white block? Explain how you found your answer.

4. What is the sample space of tossing a coin and picking a block from this bag?

Answer 1

Explanation:

Given data

two white blocks,= 2

one red block, and =1

three purple blocks.=3

1. Sample space = 2+1+3= 6

2. a. Probability of picking a white block p(w)= 2/6= 1/3

b. Probability of picking a red block p(r)= 1/6.

c. Probability of picking a purple block p(p)= 3/6= 1/2

3. the probability of ​not​ choosing a white block= 1/6+1/2= 1+3/6 4/6= 2/3

The above answers was gotten as the summation of the probability of picking red or purple

4. We already know that the sample space for picking a block from the bag is 6.

The sample space for tossing a coin is 2. Total sample space is 6+2= 8