Question

a. I have five coins in my pocket – four are fair, and the other is weighted to have a 70% chance of coming up heads. I pull one out at random and flip it three times. What is the conditional probability that I get four heads given I pulled out the weighted coin?

Answer 1

Answer:

The conditional probability that I get four heads given I pulled out the weighted coin = 0.2401

Step-by-step explanation:

Probability of getting 4 heads from 4 trials for a fair coin = 0.5⁴

But given that it is the weighted coin that is pulled out,

The probability of getting 4 heads from 4 trials = 0.7⁴ = 0 2401