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A single ball is taken at random from an urn containing 10 balls numbered 1 through 10. what is the probability of obtaining a ball whose number is less than 7?

User Roy Chan
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5.8k points

2 Answers

4 votes

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:

  1. Count the favorable outcomes (balls numbered less than 7): 6.
  2. Count the total number of outcomes (all balls): 10.
  3. 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.

User Sam Dufel
by
4.7k points
3 votes

To find probability you can use proportions

What i would do is 6/10 since it cant be 7 and then cross multiply it by 1/10.

This should get you 60%

User Deadvoid
by
5.1k points
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