10B - Sampling without replacement
Sampling without replacement involves selecting an item from a finite group of objects and removing it from future selections. As we have removed an item the sample space has been reduced meaning that the probabilities change between selections.
Sampling from small populations:
When we sample from small populations, we can use a tree diagram to represent the sample space and use it to determine the probabilities of events occurring.
10B - Example 1: Sampling from small populations
Suppose we have a bag containing 4 red and 6 green marbles. Two marbles are drawn randomly and they are not replaced before the next selection is made. Let \(X\) be the number of red marbles selected.
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10B - Example 1: Video solution
10B - Example 1: Practice
Question 1: ABC 10B - Example 1: Solutions
Question 1: ABC |
Sampling from larger populations:
When we sample from large populations, we can use our knowledge of combinations to help determine the probability of an event occurring without the need to develop the entire probability distribution.
10B - Example 2: Sampling from small populations
A school is able to send 5 representatives to an international conference. 5 boys and 8 girls nominate to attend. Find the probability that at least 2 boys are selected to go to the conference.
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10B - Example 2: Video solution
10B - Example 2: Practice
Question 1: ABC 10B - Example 2: Solutions
Question 1: ABC |