Question

skating rink Fri Sat Sun space park Fri Sat Sun skating rink Fri Sat Sun safari park Fri Sat Sun skating rink Fri Sat Sun comics park Fri Sat Sun a.) How many themes is Noah considering? b.) How many locations is Noah considering? c.) How many days of the week is Noah considering? d.) How many different possible outcomes are in the sample space?

Answer 1

a) 3 themes

b) 2 locations

c) 3 days

d) 18 possible outcomes

see explanation below

Step-by-step explanation:

a) The themes in the tree diagram = space, safari, comics

Noah is considering 3 themes

b) The locations on the tree diagram = skating rink, park

Noah is considering 2 locations

c) Number of days of the week in the tree diagram = fri, sat, sun

Noah is considering 3 days of the week

d) The possible outcomes:

18 possible outcomes

{space, skating rink, fri}

{space, skating rink, sat}

{space, skating rink, sun}

{space, park, fri}

{space, park, sat}

{space, park, sun}

{safari, skating rink, fri}

{safari, skating rink, sat}

{safari, skating rink, sun}

{safari, park, fri}

{safari, park, sat}

{safari, park, sun}

{comics, skating rink, fri}

{comics, skating rink, sat}

{comics, skating rink, sun}

{comics, park, fri}

{comics, park, sat}

{comics, park, sun}