This question is meant to help with the notion of conditiona

This question is meant to help with the notion of conditional probability and random variable notation. Suppose a fair coin is tossed. Define the random variable X_1 to be 1 if the outcome is tails and 0 if the outcome is heads. If X_1 = 1, loss an unfair coin where the probability of getting a tails is 0 4. If X_1 = 0, toss the same fair coin. Now define a second random variable X_2 as follows: X_2 = 1 if the outcome of the second coin toss is tails. X_2 0 if the outcome of the second coin toss is heads. Calculate P(X_2 = 0| X_1 = 1) (round answers to the nearest 4th decimal place if needed). This question is meant to help with the notion of conditional probability and random variable notation. Suppose a fair coin is tossed. Define me random variable X_1 to be 1 if the outcome is tails and 0 if the outcome is heads. If X_1 = 1, toss an unfair com where me probability of getting a tails is 0.4 if X_1 = 0, toss the same fair coin. Now define a second random variable X_2 as follows: X_2 = If the outcome of the second coin toss is tails X_2 = 0 if me outcome of the second com toss is heads. Calculate P(X_1 = l| X_2 = 0) (round answers to me nearest 4th decimal place if needed)

Solution

1)

0.4 / 0.6 = 2/3

2)

I can gladly help you but you should post it in a new question