Question

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.
1st spin 2nd spin outcomes
orange orange, orange orange, blue orange, green orange, red
blue blue, orange blue, blue blue, green blue, red
green green, orange green, blue green, green green, red
red red, orange red, blue red, green red, red

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