1 out of 3
Can you find a way to prove the trig identities using a diagram?
1 out of 3
How high will a ball taking a million seconds to fall travel?
2 out of 3
Find $S_r = 1^r + 2^r + 3^r + ... + n^r$ where r is any fixed positive integer in terms of $S_1, S_2, ... S_{r-1}$.
2 out of 3
Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.
3 out of 3
After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?
3 out of 3
The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 2% of flights are over-booked?
1 out of 3
1 out of 3
1 out of 3
1 out of 3
