Question

In an experiment, a coin is tossed 1000 times, and every time the tail comes, a die is rolled. It is observed that 6 comes on the die 100 times. Calculate the probability of getting 6 on the die if the probability of getting heads is 0.5.

Answer 1

Given, the probability of getting a head on the coin = 0.5.
Number of times the tossed coin resulted in head = 1000 × 0.5 = 500
Therefore, the number of times the tossed coin resulted in tails = 1000 - 500 = 500

We know that each time the tail comes up, the dice is rolled. Therefore the dice is rolled 500 times.
In the question, it is given that six came up 100 times on the die.
Therefore, the probability of getting 6 on the die = 100/500 = 1/5