Unit 4 · Statistics and Probability

24 Balls — Which Probability Statements Are True?

Lesson 3 of 6

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About this lesson

Now let's tackle one of the most common probability formats in OC MR: a question that gives you a bag of coloured items and asks you to judge whether several probability statements are true or false. The key skill is checking each statement independently and knowing the complement rule cold.

Chapters

0:00Introduction
0:23The Question
1:16Analyzing Statements 1 and 2
1:54Analyzing Statement 3
2:28Summary and final selection
2:45Strategic exam tip
3:15Correct answer

Question

A bag contains 24 balls: 10 red, 6 blue, 8 green.

One ball is drawn at random. Three students make statements:

  1. Picking a red ball is more likely than picking a blue ball.

  2. Picking a green ball and picking a blue ball are equally likely.

  3. The chance of picking a ball that is not red is the same as the chance of picking a blue or green ball.

Which statements are correct?

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