If one student were to be randomly selected from the 35 students in Mrs. Cornwall's class, the probability is 0.40 that a female student would be selected. How many female students are there in Mrs. Cornwall's class?

Rationale

There are 14 female students in Mrs. Cornwall's class.

To find the number of female students, we multiply the total number of students (35) by the probability of selecting a female student (0.40). This calculation yields 14 female students (35 * 0.40 = 14).

A (12) YOUR ANSWER

If there were 12 female students, the probability of selecting a female student would be 12 divided by 35, which is approximately 0.34. This does not match the given probability of 0.40, indicating that the number of female students must be higher.

B (14) CORRECT

This choice correctly represents the number of female students in Mrs. Cornwall's class, as it matches the calculation derived from the probability provided. With 14 female students, the probability of selecting one is indeed 14/35, which simplifies to 0.40.

C (18) YOUR ANSWER

If there were 18 female students, the probability of selecting a female student would be 18 divided by 35, resulting in approximately 0.51. This exceeds the stated probability of 0.40, confirming that this choice is incorrect.

D (21) YOUR ANSWER

With 21 female students, the probability of selecting a female student would be 21 divided by 35, which simplifies to 0.60. This is significantly higher than the required probability of 0.40, thus making this option incorrect as well.

Conclusion

The calculation of female students in Mrs. Cornwall's class shows that there are 14 females, aligning perfectly with the probability of 0.40 given in the question. Other options either underrepresent or overrepresent the number of female students, highlighting the importance of accurate probability calculations in determining group composition.

If one student were to be randomly selected from the 35 students in Mrs. Cornwall's class, the probability is 0.40 that a female student would be selected. How many female students are there in Mrs. Cornwall's class?

There are 14 female students in Mrs. Cornwall's class.

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