Question

Please help fan+medal!! Find the probability of choosing the same activity when two friends each randomly choose 1 of 4 extracurricular activities to participate in. Enter your answer in simplified fraction form. ???

Answer 1

Any clues?

Answer 2

i guess my answer didn't help?

Answer 3

no

Answer 4

its 1/16

Answer 5

right? 1/4 * 1/4= 1/16

Answer 6

not the way i read the question no

Answer 7

suppose there are four activities, lets call them A, B, C, D
what you wrote is the probability that both pick A

Answer 8

how?

Answer 9

is that clear?

Answer 10

ooh so is it 1/16*1/4?

Answer 11

or times 4 instead?

Answer 12

no not divided by 4, times 4

Answer 13

so the answer is 1/4?

Answer 14

they both pick A or they both pick B or they both pick C or they both pick D

Answer 15

yes, but there is an easier way to see this than that method

Answer 16

how can I figure it out faster?

Answer 17

imagine that the pick one after the other
the first person has to pick something
the second person has 4 choices, one of which is the same as the first person's pick

Answer 18

so theres a 1/4 chance the second person will pick the same which is why it makes it 1/4?

Answer 19

yes