Class 12

Math

Algebra

Probability I

Probability if n heads in 2n tosses of a fair coin can be given by

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How many times must a man toss a fair com so that the probability of having at least one head is more than 90%?

A die is thrown. Describe the following events:(i) A : a number less than 7 (ii) B : a number greater than 7(iii) C : a multiple of 3 (iv) D : a number less than 4(v) E : a even number greater than 4(vi) F : a number not less than 3 Also find \displaystyle{A}

Describe the sample space for the indicated experiment : One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.

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.

Winch of the following cannot be the probability of an event?(A) $32 $ (B)$1.5$ (C) 15% (D) 0.7

A bag contains $n+1$ coins. If is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is 7/12, then find the value of $n˙$

In a lottery 10,000 tickets are sold and ten equal prizes are awarded,. What is the probability of not getting a prove if you buy i. 1 ticket ii. two tickets iii. 10 tickets.

A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment.