Xiao Pang and Xiao Ya play a game and throw two identical one-dollar coins at the same time. Please analyze, are the following rules fair to both parties? Who is more likely to win?

1: If both sides are the same, Xiaopang wins; If the two sides are different, Xiao Yasheng wins (fair)

Through permutation and combination analysis:1* * has the following situations:

Positive, positive; Positive and negative; Anti, anti; Reverse direction and forward direction

So the same probability on both sides = 1/2= different probability on both sides = 1/2.

So, fair.

You can also calculate it like this:

P (chubby student) =1/2 *1/2+1/2 *1/2 = 2/4 =1/2.

P (Xiao Yasheng) =1/2 *1/2 =1/2 *1/2 = 2/4 =1/2.

P (chubby student) =P (Xiao Yasheng)

So, fair.

2. If both sides are positive, Xiao Pang wins; If both sides are tails, Xiao Ya wins (fair).

Through permutation and combination analysis:1* * has the following situations:

Positive, positive; Positive and negative; Anti, anti; Reverse direction and forward direction

So both sides are positive probability = 1/4= both sides are negative probability = 1/4.

So, fair.

You can also calculate it like this:

P (chubby student) =1/2 *1/2 =1/4

P (Xiao Yasheng) =1/2 *1/2 =1/4

P (chubby student) =P (Xiao Yasheng)

So, fair.

3: If both sides are heads, Xiao Pang wins; In other cases, Xiao Yasheng (unfair)

Through permutation and combination analysis:1* * has the following situations:

Positive, positive; Positive and negative; Anti, anti; Reverse direction and forward direction

So the probability that both sides are positive = 1/4 does not mean that other situations =3/4.

So, it's unfair.

You can also calculate it like this:

P (chubby student) =1/2 *1/2 =1/4

P (Xiao Yasheng) = 1- 1/4=3/4

P (small fat wins) is not equal to P (small Asian wins)

So, it's unfair.