Question

Probability question!!
Please help!!! Will medal and fan
Probability theory predicts that there is a 76% chance of a water polo team winning any particular match. If the water polo team playing 2 matches is simulated 10,000 times, in about how many of the simulations would you expect them to win exactly one match?

Answer 1

@sammixboo @Vocaloid @AloneS @mathmath333 Can anyone help?

Answer 2

first calculate the probability of winning 1 match out of 2

Answer 3

any ideas how?

Answer 4

No clue :(

Answer 5

it says that the probability of winning one match is 76%, or 0.76

so, what's the probability that they will win one match and not win the next match?

Answer 6

I get what you're saying but I don't know how they would calculate the probability of not winning the second one

Answer 7

not winning = 1 - winning = ?

Answer 8

1?

Answer 9

no

Answer 10

winning = ?

Answer 11

.76?

Answer 12

yes, so 1 - winning = ?

Answer 13

.24?

Answer 14

very good

so

winning and then not winning is (0.24*0.76) = 0.1824

then we consider the reverse scenario where we don't win the first time, but win the second time

same probability ---> (0.76*0.24) = 0.1824

Answer 15

then we add those two together to get 0.3648

Answer 16

with me so far?

Answer 17

Yes

Answer 18

then we just multiply that probability 0.3648
by the number of simulations (10,000)

to get your answer

Answer 19

3648.

Answer 20

great

Answer 21

Thanks! :D