A fair coin is tossed 6 times. If heads appears on the first 2 tosses, then what is the total number of heads we would expect after all 6 tosses.
A
2
B
3
C
4
D
5
E
6
Correct answer: C
Explanation
As the given coin is a fair coin, the last 4 tosses are independent of the first 2, so we would expect heads 2 out of the 4 tosses left. Thus making the total 4 heads out of the 6 tosses.
Source: Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.
id aqua_rat:95a60ad4344b9e34f1bb83f61ce12737
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