QUESTION IMAGE
Question
- in a lottery there are 44 balls.
7a what is the probability of a particular ball being drawn first?
probability = \\(\frac{1}{44}\\)
5 nailed it!
7b a ball is discarded after it has been drawn. if ball number 21 is drawn on the first go, what is the probability of ball number 10 being drawn next?
probability = \\(\frac{1}{43}\\)
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7c is the probability of each successive ball drawn the same as the probability of the first ball drawn?
yes a no b
7c Solution:
Step1: Recall probability of first draw
The probability of the first ball (e.g., ball 21) being drawn was $\frac{1}{44}$.
Step2: Analyze successive draws
After the first draw, one ball is discarded, so the total number of balls left is $44 - 1 = 43$. For a successive draw (e.g., ball 10), the probability is $\frac{1}{43}$. Since $\frac{1}{44}
eq \frac{1}{43}$, the probabilities differ.
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B. No