Question

Probability Experiment In Exercises 51-54, a probability experimen consists of rolling a six-sided die and spinning the spinner shown at the left. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the event. Then tell whether the event can be considered 51. Event A: rolling a 5 and the spinner landing on blue 52. Event B: rolling an odd number and the spinner landing on green 53. Event C: rolling a number less than 6 and the spinner landing on yellow 54. Event D: not rolling a number less than 6 and the spinner landing on yellow FIGURE FOR EXERCISES 51-54

Answer 1

there are 6 outcomes in a roll of a die.

there are 4 outcomes in a spinner

51) The probability of rolling a 5 and the spinner landed on blue is $\frac{1}{6}(0.25)=0.0417$

52)the probability of rolling an odd number and green = $\frac{3}{6}(0.25)=0.125$

53)the probability of rolling a number less than 6 and the spinner landing on yellow = $\frac{5}{6}(0.25)=0.2083$

54)the probability of not rolling a number less than 6 and the spinner landing on yellow =? $\frac{1}{6}(0.25)=0.0417$