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A pair of coin is tossed. The probability of getting the head is one-fifth of the probability of getting the tail. Find the probability of getting a head and a tail.
A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: i. Head, ii. Head, iii. Head, iv. Head. The probability of obtaining a 'Tail' when the coin is tossed again is
Two players Virat Kohli and Kane Williamson toss a coin alternatively, with Virat Kohli beginning the game. The players who first throw a head are deemed to be the winner. Kane Williamson's coin is fair and Virat Kohli 's is biased and has a probability p showing a head. Find the value of p so that the game is equiprobable to both the players.
Two players A and B toss a coin alternatively, with A beginning the game. The players who first throw a head is deemed to be the winter. B's coin is fair and A's is biased and has a probability p showing a head. Find the value of p so that the gam e is equi-probable to both the players.
A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?
Availability of drinking water is continuously decreasing. The government decided to identify those sources of drinking water which getting polluted. The following table depicts the number of polluted sources in a district. Source of drinking water getting polluted Number Wells 24 Handpump 12 Dam 12 Borewell 6 Ponds 18 The pictograph table for the above table will be (A) Source of drinking water getting polluted Number symbol = 6 source Wells Handpump Dam Borewell Ponds (B) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds (C) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds (D) Source of drinking water getting polluted Number symbol  = 6 source Wells Handpump Dam Borewell Ponds
A biased coin shows heads with a probability of 0.7 in a throw. What is the probability of different outcomes in two throws of coin?
The probability is 1/2 that a coin will turn up heads on any toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
For each element in a set of size 2n, an unbiased coin is tossed. All the 2n coin tossed are independent. An element is chosen if the corresponding coin toss were head. The probability that exactly n elements are chosen is