Please type this as 2(sin 2x)^2=2 <span>2sin^2 2x=2 is confusing.
Reducing this expression: (sin 2x)^2 = 1
Taking the sqrt of both sides, sin 2x = plus or minus 1
If sin 2x = 1, then 2x must be pi/2 or 3pi/2, and so x must be pi/4 or 3pi/4.
Now you do this for sin 2x = -1.</span>
It really depends on the situation as probability depends on logic more than simple mathematical equations. However you must keep in mind a few principles:
1- P = number of possible outcomes of the event / total outcomes
2- P always less than or equal to 1.
3- For independent events A and B to occur simultaneously, P= P(A) x P(B)
You can send me the question you’re stuck at for further help.
It’s the 3rd answer lol,good luck