Zillian and Zillo

Zillian tosses one penny and Zillo tosses two pennies. The probability that Zillo gets the same number of head that Zillian gets is what common fraction?

A) 1/4
B) 3/8
C) 1/2
D) 2/3
E) 3/4

I'll post the solution after a significant number of replies.

Um.. 1/4.. because.... they need better names...

I'll actually try the problem in a bit.

What kind of names are zillian and zillo? anyway i don't even get how to do the problem. I might try it later, but for now

Steve wrote:What kind of names are zillian and zillo? anyway i don't even get how to do the problem. I might try it later, but for now

ya i know

how do u do the poll thingy?

idk but archis will come and tell us the answer

When you post a new topic, if you scroll down, you'll see poll options. You can take it from there.

Ben R wrote:When you post a new topic, if you scroll down, you'll see poll options. You can take it from there.

ohhhhhhhhhhhhhh

Archis wrote:Zillian tosses one penny and Zillo tosses two pennies. The probability that Zillo gets the same number of head that Zillian gets is what common fraction?

Probability is equal to # of successes/total possibilities. Note this is a very easy probability question if the successes is approached with proper casework.

Case I: They each throw 0 heads

Spoiler:

Case II: They each throw 1 head

Spoiler:

Combining both the results from Case I and II, you get 3 successes. In total there are 8 possibilities (3 coins are being tossed for 2*2*2.)

#successes/#possibilities = 3/8