Two unbiased coins are thrown together show that the events 1st coin shows a head and 2nd coin shows a head are independent events.

Two unbaised coins are tossed. The probability that the first coin shows 'head' and the second coin shows 'tall' is-

If the events A^C and B^C are independent then show that A and B are independent.

A coin is tossed and a dice is rolled. Find the probability that the coin shows the head and the dice shows 6.

Three coins are tossed together. Find the probability of getting at most two heads.

Three coins are tossed. If one of them shows tail, then find the probability that all three coins show tail.

If two fair coins are tossed together 5 times, then the probability of getting 5 heads and 5 tails is -

An unbiased die is thrown twice. Let the event A be "odd number on the first throw" and B the event "odd number on the second throw". Check the independence of the events A and B.

An unbiased normal coin is tossed n times. Let E_1: event that both heads and tails are present in n tosses. E_2: event that the coin shows up heads at most once. The value of n for which E_1a n dE_2 are independent is _________.

There are three coins. One is two headed coin, another is a biased coin that comes up head 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed. If it shows head, what is the probability that it was the two headed coin ?