Question

3.1.63 

A probability experiment consists of rolling a six-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color Use a tree diagram to find the probability of the given event. Then tell whether the event can be considered unusual

 Event: rolling a 3 and the spinner landing on red 

The probability of the event is _______  

3.1.65 

Assigned Media Question Help A probability experiment consists of rolling a four-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the given event. Then tell whether the event can be considered unusual. 

Event: rolling a number less than 4 and the spinner landing on blue 

The probability of the event is _______ (Type an integer or decimal rounded to three decimal places as needed.)

3.4.51 

Assigned Media Question Help A warehouse employs 28 workers on first shift, 19 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first shift workers. 

The probability of choosing exactly five first shift workers is _______ (Round to three decimal places as needed.)

Answer 1

Concept: If two events, say A and B,  are independent then

P(A and B) = P(A) * P(B)

3.1.63)

A: Rolling a 3

B: Spinner landing on Red

P(A) = 1/6

P(B) = 1/4

As A and B are independent

P(A and B) = P(A) * P(B) = 1/6 * 1/4 = 0.042

3.1.65)

A: Rolling a number less than 4 (1, 2 or 3)

B: Spinner landing on Blue

P(A) = 3/4

P(B) = 1/4

As the events A and B are independent

P(A and B) = P(A) * P(B) = 3/4 * 1/4 = 0.188

3.4.51)

Probability of choosing exactly 5 first shift workers = (²⁸C₅ * ³²C₃ )/ ⁶⁰C₈ = 0.191