Question

a teacher is putting 28 students into 7 equal groups. she has 28 cards, numbered from 1 to 7, with 4 cards for each number. the teacher gives each student a card to determine their group. which statement explains the probability of a student being put into group number 5? (\frac{1}{5}); each student has an equal chance of being put into group number 5 (\frac{1}{7}); each student has an equal chance of being put into any of the 7 groups (\frac{1}{4}); each student has an equal chance of being one of the 4 students in any given group (\frac{1}{28}); each student has an equal chance of receiving any of the 28 cards

Explanation:

Step1: Determine total groups

There are 7 equal groups, so the number of possible groups a student can be in is 7.

Step2: Analyze probability logic

Probability of an event is the number of favorable outcomes over total outcomes. Here, favorable outcome is being in group 5 (1 group), total outcomes are 7 groups. So probability is $\frac{1}{7}$ because each student has an equal chance to be in any of the 7 groups.

Answer:

$\frac{1}{7}$; each student has an equal chance of being put into any of the 7 groups