Two probability problems in high school mathematics. Please help me solve them.

1: If two Olympic advertisements can't be broadcast continuously, the commercial advertisements should be arranged first ●, and the Olympic advertisements should be inserted. It is also required that the commercial advertisements should not be broadcast at the end, so the last one is the Olympic advertisement. Specific operation: arrange three commercial advertisements, including A3 3 = 6, and arrange Olympic advertisements, and put one of them at the end, including C2 1 = 2.

2. A customs clearance game stipulates that the N-level must roll the dice N times. If the sum of n points is greater than 2∧N, you can pass the customs.

We consider this problem,

The probability of throwing more than two at a time is 2/3.

The probability of throwing more than 4 twice is 1-6/36=5/6 (the combination of not more than 4 is 1+ 1, 1+2, 1+3, 2+ 1, 2+.

-Actually, look at X+Y.

The probability of throwing more than 8 in three times is 1-56/2 16=20/27 (the combination of not more than 8 is1+1,1+2, .../kloc.

On the whole, the probability of passing the three levels is 2/3*5/6*20/27= 16/27.