From the 400-student data, what is the probability that the gift occasion is Christmas?

From the 400-student data, what is the probability that the gift occasion is Christmas?

• A. 0.45
• B. 0.50
• C. 0.40
• D. 0.35

Answer: (A)

Probability is the fraction of the total outcomes that show the event. Here, with 400 students in total, the probability that a randomly chosen student has Christmas as the gift occasion is the number with Christmas divided by 400. If 180 students have Christmas, the probability is 180/400 = 0.45. That means 45% of the students celebrate Christmas for the gift occasion. You can verify by converting: 0.45 × 400 = 180, which matches the data. The other numbers would require 200, 160, or 140 students to have Christmas, which doesn’t align with the given data. So the probability is 0.45.

Probability is the fraction of the total outcomes that show the event. Here, with 400 students in total, the probability that a randomly chosen student has Christmas as the gift occasion is the number with Christmas divided by 400.

If 180 students have Christmas, the probability is 180/400 = 0.45. That means 45% of the students celebrate Christmas for the gift occasion. You can verify by converting: 0.45 × 400 = 180, which matches the data.

The other numbers would require 200, 160, or 140 students to have Christmas, which doesn’t align with the given data. So the probability is 0.45.