Class 12

Math

Algebra

Probability I

A dice is rolled three times, find the probability of getting a larger number than the previous number each time.

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

A fair coin is tossed $n$ times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value of $n˙$

One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be(i) a diamond (ii) not an ace(iii) a black card (i.e., a club or. a spade) (iv) not a diamond(v) not a black card.

If $P(A∪B)=3/4andP(A)=2/3$ , then find the value of $P(A∩B)˙$

From the employees of a company, 5 persons are selected to represent them in the managing committee of the company. Particulars of five persons are as follows:S.No. Name Sex Age in years1. Harish M 302. Rohan M 333. Sheetal F 464. Alis F 285. Salim M 41A person is selected at random from this group to act as a spokesperson. What is the probability that the spokesperson will be either male or over 35 years?

On a normal standard die one of the 21 dots from any one of the six faces is removed at random with each dot equally likely to the chosen. If the die is then rolled, then find the probability that the odd number appears.

Events E and F are such that $P(¬Eor¬F)=0.25$, State whether E and F are mutually exclusive.

In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 2 minutes after she starts playing. What is the probability that the music will stop within the first half-minute after starting?