Probability · Challenge 24 of 25 · about 7 min
Likelihood and Dependence
Classify first-draw likelihoods, then notice how drawing without replacement changes the bag.
Your challenge
Take your time. Your answer is checked only when you choose Check Answer.
Curriculum details
- Curriculum code
- VC2M4P01
- Strand
- Probability
- Focus
- Describe possible outcomes, order events by likelihood and identify dependent events.
Interactive visual
An interactive Count, then ask what changes model is ready. Choose Show Visual Trick to reveal and hear one mathematical change at a time.
Visual Trick
Count, then ask what changes
Count the possible counters, then check whether the first event changes the second event.
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Step 1
Show three red and one blue counter as four equally possible objects; show no green counter.
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Step 2
Place Red as likely, Blue as unlikely and Green as impossible for the first draw.
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Step 3
Move one counter out of the bag without returning it.
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Step 4
Compare the bag before and after the draw.
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Step 5
Conclude that the second draw is dependent because the first draw changes what remains.
Your answer
Worked explanation
Why the answer makes sense
- Three of four counters are red, so red is likely; one is blue, so blue is unlikely; none is green, so green is impossible.
- The first counter is not returned, so the bag has different contents for the second draw.
- The second draw is dependent because the first draw changes what remains in the bag.
This counts as one completed curriculum item. You can replay the model or review it again anytime.