Final answer:
The probability of selecting a ball numbered less than 7 from an urn containing balls numbered 1 to 10 is 6 favorable outcomes out of 10 possible outcomes, which simplifies to 3/5 or 0.6.
Step-by-step explanation:
The question is asking about the probability of selecting a ball with a number less than 7 from an urn with balls numbered from 1 to 10. To determine this probability, we count how many balls have numbers less than 7 which are 1, 2, 3, 4, 5, and 6. That gives us 6 balls. Since all balls are equally likely to be chosen, and there are 10 balls in total, the probability of drawing one with a number less than 7 is the number of favorable outcomes divided by the total number of outcomes.
Here is the calculation:
- Count the favorable outcomes (balls numbered less than 7): 6.
- Count the total number of outcomes (all balls): 10.
- Calculate the probability: Number of favorable outcomes / Total number of outcomes = 6/10.
Therefore, the probability of drawing a ball with a number less than 7 is 6/10 which simplifies to 3/5 or 0.6.