q23.) a spinner has 4 equal sections; red, green, blue and orange. ricardo is going to spin the spinner…

q23.) a spinner has 4 equal sections; red, green, blue and orange. ricardo is going to spin the spinner twice. he uses the chart below to help him determine the probability of an event. what is the probability that ricardo will spin a green followed by a red or orange? express your answer as a decimal.\n1st spin 2nd spin outcomes\norange orange, orange orange, blue orange, green orange, red\nblue blue, orange blue, blue blue, green blue, red\ngreen green, orange green, blue green, green green, red\nred red, orange red, blue red, green red, red

q23.) a spinner has 4 equal sections; red, green, blue and orange. ricardo is going to spin the spinner twice. he uses the chart below to help him determine the probability of an event. what is the probability that ricardo will spin a green followed by a red or orange? express your answer as a decimal.\n1st spin 2nd spin outcomes\norange orange, orange orange, blue orange, green orange, red\nblue blue, orange blue, blue blue, green blue, red\ngreen green, orange green, blue green, green green, red\nred red, orange red, blue red, green red, red

Answer

Explanation:

Step1: Determine total number of outcomes

The spinner has 4 sections and is spun twice. So the total number of outcomes is (4\times4 = 16) according to the fundamental counting principle.

Step2: Identify favorable outcomes

The favorable outcomes (green on first - spin followed by red or orange on second - spin) are: (Green, Red) and (Green, Orange). There are 2 favorable outcomes.

Step3: Calculate probability

The probability (P) of an event is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). So (P = \frac{2}{16}=\frac{1}{8}=0.125).

Answer:

0.125