Terms & Conditions
During the recent BrainBashers cipher convention, a Morse code contest took place. The contest consisted of a Morse code transmission where the spaces between the letters and words were missing. Can you decipher the sequence and find the well known proverb?
Luckily, BrainBashers has provided you with a listing of the Morse code characters:
You are given 50 white marbles and 50 black marbles along with two jars.
You are asked to place all 100 marbles into the jars in any way you choose.
Afterwards, you will be blindfolded, the jars will be shaken and rearranged, and you will be asked to select just one marble (from either jar).
How would you arrange the marbles originally to maximise the probability of drawing a white marble?
Hint: Splitting the marbles evenly isn't the best approach.
Place one white marble in the first jar and place the remaining 49 white and 50 black marbles in the second jar.
This placement gives a large increase in the chances of drawing a white marble.
The probability of selecting either jar is 0.5, the probability of drawing a white marble from one jar is 1 and from the other jar is 49/99.
Therefore the overall probability is 0.5 x (1) + 0.5 x (49/99) = 0.74747.
From me to you with LOVE: how many times does the word LOVE appear in this grid?
L V E V O L E E V O L E V O L
O O V E O O E V O L L V V O L
V L O V E V V O O O L O V E O
E O L O V E O L V L E L E V V
E V O L E E L E O L E V O L E
V V O L V V O L O V O L O V E
O V O L O O V V O L E L O L E
L V O L L L E L O V E L O V E
E V L O V E V V O L O V E V E
E E L L E V O L O E E V O L E
L V V O L L L V L L V L L L V
L O E V V O E O O E V O L O O
O L V E V E V V V E V O L V L
V O O E L E E E E E L O V E O
E V L E V O L O V E V O L O V