General Maths Puzzle Numerical Ability

In the above coin toss if you bet on heads in 9 trials and lost every time. Given this, what can you conclude?
a) Although the coin is fair, the game is rigged against you.
b) You are very likely to get a head in the 10 trial?
c) You should start betting on tails as that's the outcome that seems more likely.
d) You have just been unlucky.
Explain:

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General Other Question

Let's take a fair (unbiased) coin and toss it 10 times. What is the probability getting at least 1 head in any of the trials?
a) 1/10
b) 1/20
c) 1/(2^10)
d) 1-(1/(2^10))
Explain:
Two turns have certain peculiar characteristics. One of them always lies on Monday,
Wednesday, Friday. The other always lies on Tuesdays, thursdays and saturdays. On the
other days they tell the truth. You are given a conversation.
Person A -- Today is sunday and my name is anil.
Person B -- Today is tuesday and my name is Bill.What is today?
Today is tuesday.