Which of the following statement is/are correct? Three coins are tossed once. At least two of them must land the same way. No matter whether they land heads or tails, the third coin is equally likely to land either the same way or oppositely. So, the chance that all the three coins land the same way is 1/2. Let `0

Three coins are tossed once. Find the probability of getting: all heads (ii) at least two heads (iii) at most two heads (iv) no heads (v) exactly one tail (vi) exactly 2 tails (vii) a head on first coin.

Which of the following arguments are correct and which are not correct? Give reasons for your answer.(i) If two coins are tossed simultaneously there are three possible outcomes two heads, two tails or one of each. Therefore, for each of these outcomes the probability is 1/3(ii)if a die is thrown, there are two possible outcomes, an odd no. or an even no. Therefore ,the probability of getting an odd no. is 1/2.

Three coins are tossed once. Let A denote the event ‘three heads snow”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event 'a head shows on the first coin”. Which events are(i) mutually exclusive? (ii) simple? (iii) Compound?

Three coins are tossed once. Describe the following events associated with this random experiment: A= Getting three heads, B= Getting two heads and one tail, C= Getting three tails D= Getting a head on the first coin. Which pairs of events are mutually exclusive?

A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e. three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed 1.0 ms^(-1) and the man behind walks at a speed 2.0 ms^(-1) . A third mad is standing at a height 12m above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency 1430 Hz. The speed of sound in air is 330 ms^(-1) . At the instant, when the moving men are 10 m apart, the stationary man is equidistant from them. The frequency of beats in Hz, heard by the stationary man at this instant, is

Statement -1 : A fair coin is tossed four times. The probability that heads exceed tails in number is 5/16 Statement-2 : A fair coin is tossed, then the probability that it lands with heads is 1/2

A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

Suppose a girl throws a dice. If she gets 5 or 6 she tosses a coin three times and note the number of tails. If she gets 1,2,3 or 4, she tossed a coin once and notes whether a head or tails is obtained. If she is obtained exactly one tail, what is the probability that she threw 1,2,3 or 4 with the dice?

Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1,2,3 or 4 with the die?