To determine the probability of obtaining a number less than 2 on a spinner numbered from 1 to 10, we must first identify the possible outcomes of a spin and the favorable outcomes for our condition (i.e., the number being less than 2).
The numbers on the spinner are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. This gives us a total of 10 possible outcomes.
Now, let’s look for numbers less than 2. The only number less than 2 is 1.
This means we have:
- Total outcomes: 10
- Favorable outcomes (numbers less than 2): 1 (which is only the number 1)
The probability (P) of an event is calculated using the formula:
P(Event) = (Number of favorable outcomes) / (Total number of outcomes)
Substituting the values we found:
P(Number < 2) = 1 / 10
Thus, the probability of obtaining a number less than 2 when spinning the spinner is 0.1 or 10%.