a spinner is divided into 4 equal sections labeled with the numbers 1 through 4. the tree diagram represents…

a spinner is divided into 4 equal sections labeled with the numbers 1 through 4. the tree diagram represents all of the possible outcomes of spinning the spinner twice. use the drop - down menus to complete the statements about the possible outcomes. click the arrows to choose an answer from each menu. there are a total of choose... possible outcomes. there are choose... possible outcomes for spinning two numbers that have a sum greater than 5. there are choose... possible outcomes for spinning the same number twice.
Answer
Explanation:
Step1: Calculate total outcomes
By multiplication principle, $4\times4 = 16$.
Step2: Find outcomes with sum > 5
List pairs: $(2,4),(3,3),(3,4),(4,2),(4,3),(4,4)$; there are 6.
Step3: Find outcomes with same - number twice
Pairs are $(1,1),(2,2),(3,3),(4,4)$; there are 4.
Answer:
There are a total of 16 possible outcomes. There are 6 possible outcomes for spinning two numbers that have a sum greater than 5. There are 4 possible outcomes for spinning the same number twice.