probability problems

currylarper

UK's biggest incel | 18 | KHHHDDPV
Jan 2, 2024
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these are from a quant test for an internship which i failed

The probability of raining in London is 75%. You call 3 friends and they all say it is raining in London. Given that there is a 1/3 chance that each of your friend lies, what is the probability of it raining?

A coin is biased, so the odds of it landing on heads and tails are different. Design a tossing process which generates two possible outcomes with an equal probability.

A coin has odds of 0.4 of landing on heads, and odds of 0.6 of landing on tails. You play a game where if it lands on heads you keep tossing, and if it lands of tails the game ends. What is the average number of tosses per game played?
 

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