Question

Suppose a fair tetrahedral (4-sided) dice is rolled. It gives a random number k from {1, 2, 3, 4}.Following this, a fair coin is tossed k times i). Suppose we were told all the coin tosses showed heads, what is the probability that the score of the dice was equal to 3? ii). Generalise your result to the case where a fair n-sided dice is rolled giving some value 1 <= k <= n, following which a fair coin is tossed k times. If you were told all the coin tosses landed heads, what is the probability that the dice landed on the value s where 1 <= s <= n?

Name: suppose a fair tetrahedral 4 sided dice is rolled it gives a random number k from 1 2 3 4following this a fair coin is tossed k times i suppose we were told all the coin tosses showed heads 06377
Uploaded: 2021-12-17T01:39:22-08:00
Duration: 1 min 50 s
Channel: Steven Clarke
Description: suppose a fair tetrahedral 4 sided dice is rolled it gives a random number k from 1 2 3 4following this a fair coin is tossed k times i suppose we were told all the coin tosses showed heads 06377

          Suppose a fair tetrahedral (4-sided) dice is rolled. It gives a random number k from {1, 2, 3, 4}.Following this, a fair coin is tossed k times
i). Suppose we were told all the coin tosses showed heads, what is the probability that the score of the dice was equal to 3?
ii). Generalise your result to the case where a fair n-sided dice is rolled giving some value 1 <= k <= n, following which a fair coin is tossed k times. If you were told all the coin tosses landed heads, what is the probability that the dice landed on the value s where 1 <= s <= n?

Added by Gregory C.

Question

Please give Ace some feedback