In a coin toss experiment, a coin has a 30% chance of landing on H and 70% chance on landing on T
We toss the coin twice
E represents event in which at least 1 of the tosses land on head
F represents event in which at least 1 of the tosses land on tail
I can prove mathematically that they are not independent, but can someone explain to be in layman's term why they aren't?
Proof that they are not independent
Pr(E) =.51 Pr(F) =.91
E $\bigcap$ F = { HT, TH} = .21 + .21 = .42 $\neq$ Pr(E) $\cdot$ Pr(F)