Question 44

The probability that at least one of the kindergarten students will be immunized is 1 - (0.35)^6.

This probability is calculated by considering the complement of the event where none of the students are immunized. The expression 1 - (0.35)^6 effectively gives the probability that at least one student is immunized.

A) 0.65

This option represents the probability of an individual student being immunized, but it does not account for the scenario of at least one student being immunized among a group. Therefore, it is incorrect in the context of the question.

B) 1 - (0.65)^6

This expression calculates the probability that none of the students are immunized, using the individual immunization probability of 0.65. However, this is not the correct formula for finding the probability that at least one student is immunized, making this option incorrect.

C) 0.35

This option indicates the probability that an individual student is not immunized. While it is a relevant figure, it does not address the question of at least one student being immunized in a group setting. Thus, it is not the correct answer.

D) 1 - (0.35)^6

This option correctly computes the probability that at least one of the kindergarten students will be immunized by taking the complement of the event where no students are immunized. This is the appropriate calculation for the scenario described, confirming it as the correct answer.

Conclusion

The correct answer, D, accurately calculates the probability of at least one student being immunized by considering the complement of not having any immunized students. Options A, B, and C either misinterpret the question or provide incorrect calculations, underscoring why D is the definitive choice for this probability scenario.