3. CBQ - Sample space and tree diagram

A family plays a game where a coin is tossed. If it lands Heads, a player spins a spinner numbered \(1 – 3\) (equally likely). If it lands Tails, the player rolls a die numbered \(1 – 6\) (equally likely).

 

1. The tree diagram for the given scenario is

 

2. The sample space for die roll is

 

3. Probability of getting heads followed by the spinner showing an even number.

 

4. Probability of getting tails followed by a number greater than \(4\) is