You and a friend are playing a game by tossing two coins. If both coins land

on heads, you win. If the coins land on different sides, your friend wins. The

table shows the possible outcomes.

Coin 1

Coin 2

Heads

Heads

Heads

Tails

Tails

Tails

Tails

Heads

Is this a fair game?

O

A. Yes. You and your friend each have a

probability of winning.

O

B. Yes. You and your friend each have a

probability of winning.

O

c. No. You have a probability of winning, while your friend has a

probability of winning.

Question

Mathematics

Ivy Norris

26 June, 17:26

You and a friend are playing a game by tossing two coins. If both coins land

on heads, you win. If the coins land on different sides, your friend wins. The

table shows the possible outcomes.

Coin 1

Coin 2

Heads

Heads

Heads

Tails

Tails

Tails

Tails

Heads

Is this a fair game?

O

A. Yes. You and your friend each have a

probability of winning.

O

B. Yes. You and your friend each have a

probability of winning.

O

c. No. You have a probability of winning, while your friend has a

probability of winning.

+2

Answers (2)

Know the Answer?

Selina Waller · Answer 1

C

Step-by-step explanation:

Let the random variable X be the number of heads that come up when a fair coin is tossed 4 times. Then X∼B (4,12). We want there to be exactly two heads (forcing the other two tosses to be tails), so P (X=2) = (42) (12) 2 (12) 2=38.

Sidney Gray · Answer 2

c. No. You have a probability of winning, while your friend has a

probability of winning.

Or it's A