Question

select the correct answer from each drop - down menu. shona spins a spinner with three equal - sized spaces—red, green, and yellow—and then rolls a six - sided die numbered from 1 to 6. the sample size for this compound event is. if instead of three colored spaces, the spinner has four colored spaces, the sample size would be

Explanation:

Step1: Recall counting - principle

For a compound event, if one event has $m$ possible outcomes and another has $n$ possible outcomes, the total number of outcomes (sample - size) of the compound event is $m\times n$.

Step2: Calculate sample - size for first case

The spinner has 3 possible outcomes and the die has 6 possible outcomes. So the sample - size $S_1=3\times6 = 18$.

Step3: Calculate sample - size for second case

If the spinner has 4 possible outcomes and the die has 6 possible outcomes, then the sample - size $S_2=4\times6=24$.

Answer:

The first blank: 18
The second blank: 24