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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
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
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 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 130 times and head is obtained 75 times. If a coin is tossed at random, what is the probability of getting a tail?
An unbiased coin is tossed. If the result is head, a pair of unbiased dice is rolled and the number obtained by adding the number on the two faces are noted. If the result is a tail, a card from a well-shuffled pack of 11 cards numbered 2, 3, 4...., 12 is picked & the number on the card is noted. What is the probability that the number noted is 7 or 8?
An unbiased coin is tossed. If the result is head, a pair of unbiased dice is rolled and the number obtained by adding the number on the two faces is noted. If the result is a tail, a card from a well-shuffled pack of 11 cards numbered 2, 3, 4.... .., 12 is picked & the number on the card is noted. What is the probability that the number noted is 7 or 8?
An unbiased coin is tossed five times. The outcome of each toss is either a head or a tail. The probability of getting at least one head is
Three unbiased coins are tossed. What is the probability of getting atmost two heads?
An unbiased coin is tossed until the first head appears or until four tosses are completed, whichever happens earlier. Which of the following statements is/are correct? 1. The probability that no head is observed is \(\frac{1}{{16}}\). 2. The probability that the experiment ends with three tosses is \(\frac{1}{{8}}\). Select the correct answer using the code given below: