Bridge Randomness

Contract bridge is fun.
Random things happen all the time, but that just makes it more fun.

For example:

You are sitting West, dealer South.
You are dealt the following cards: S:AK H:AJ98 D:AK4 C:KQJ9

South opens 1NT. (You give off a surprised expression). What do you call?

Or:

You are sitting South and you are the dealer.
You are dealt the following cards: S:KQ108 H:- D:AJ96 C: J9532

Being conservative in bidding, you pass. West passes after you. North, your partner, opens 4H.
East, your right-hand opponent, doubles.
What do you call?

Note 1: both of the above hands are real, and played by me.
Note 2: i am not a bridge expert, merely an amateur.

As it seems, there is no 100% safe call (not that I can think of anyway), so use your best judgement!