Alright, let's put the events in order from least to most likely based on their given probabilities of winning.
Step 1: Convert the probabilities to a common format.
1. Rory's probability of winning: [tex]\( P(\text{Rory wins}) = 20 \% = \frac{20}{100} = 0.2 \)[/tex]
2. Phil's probability of winning: [tex]\( P(\text{Phil wins}) = 0.05 = 0.05 \)[/tex]
3. Rickie's probability of winning: [tex]\( P(\text{Rickie wins}) = \frac{3}{4} = 0.75 \)[/tex]
Step 2: Compare the probabilities to determine the order from least likely to most likely.
- Phil: [tex]\( 0.05 \)[/tex]
- Rory: [tex]\( 0.2 \)[/tex]
- Rickie: [tex]\( 0.75 \)[/tex]
Step 3: Arrange the events in order.
The order from least to most likely is:
1. Phil wins (0.05)
2. Rory wins (0.2)
3. Rickie wins (0.75)
So, the events in order from least to most likely are:
1. Phil wins
2. Rory wins
3. Rickie wins
