Probability Quiz

Grade 9 · Math · Quiz

Test your understanding of theoretical and experimental probability, compound events, and probability rules.

Questions

A card is drawn from a standard 52-card deck. What is P(drawing a heart)?
1. 1/4
2. 1/13
3. 1/52
4. 1/2
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Answer: 1/4
There are 13 hearts in 52 cards; P = 13/52 = 1/4.
If P(A) = 0.6, then P(not A) = 0.4.
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Answer: True
P(not A) = 1 − P(A) = 1 − 0.6 = 0.4.
You flip a coin and roll a die. What is P(heads AND rolling a 5)?
1. 1/6
2. 1/12
3. 1/2
4. 1/3
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Answer: 1/12
P(heads) = 1/2; P(5) = 1/6; independent: 1/2 × 1/6 = 1/12.
An event that is certain to happen has a probability of ___.
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Answer: 1
A certain event always occurs; probability = 1.
P(A) = 0.5, P(B) = 0.3, events are mutually exclusive. P(A or B) = ?
1. 0.15
2. 0.8
3. 0.2
4. 1.0
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Answer: 0.8
Mutually exclusive: P(A or B) = 0.5 + 0.3 = 0.8.
Experimental probability and theoretical probability are always equal.
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Answer: False
They converge over many trials (Law of Large Numbers) but may differ in any specific experiment.
A bag has 5 green and 5 yellow chips. You pick one, replace it, pick again. P(green then yellow)?
1. 1/4
2. 1/2
3. 1/5
4. 2/5
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Answer: 1/4
P(green) = 5/10 = 1/2; P(yellow) = 1/2; with replacement: 1/2 × 1/2 = 1/4.
Two events that cannot occur at the same time are called ___ exclusive.
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Answer: mutually
Mutually exclusive events have no overlap; P(A and B) = 0.
What is the probability of rolling an even number on a standard six-sided die?
1. 1/6
2. 1/3
3. 1/2
4. 2/3
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Answer: 1/2
Even numbers on a die: 2, 4, 6 — 3 out of 6 outcomes; P = 3/6 = 1/2.
There are 8 boys and 12 girls in a class. One student is chosen at random. P(girl) = ?
1. 2/5
2. 3/5
3. 8/20
4. 1/2
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Answer: 3/5
P(girl) = 12/20 = 3/5.

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