One summer peter visits 4 villages (A, B, C and D) in a random order. Let A denote the event three heads show, 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. C. 5 Try this with both your eyes open. What are the possible values of X? Now can you guess from what distance can an eagle in the sky can see a roti on the ground? Answer: Even after blocking their path, the ants climb up the pencil and move in a straight line. So when their path was blocked, the ants tried to keep their path by following the smell. Q2. Some animals can behave differently if they sense some natural calamity may occur. P(X = 0) = P (no tail) = P (H) P (H) = = 9/16, P(X = 1) = P (one tail) = P (HT) P (TH) = . (v) Three events which are mutually exclusive but not exhaustive, Let us assume X be the event of getting only head, Let us assume Y be the event of getting only tail, Let us assume Z be the event of getting exactly two heads. 4 cards are drawn from a well shuffled deck of 52 cards. (ii) Simple? A. If the coin is tossed twice, find the probability distribution of number of tails. 18. Hence, the required probability is1/5040. Can you understand the sounds of some animals? This article contains brief information about the topic Super Senses. Which of the following cannot be valid assignment of probabilities for outcomes of sample Space S = {1, 2, 3, 4, 5, 6, 7}, (a) Condition (i): Each of the number p(i ) is positive and less than zero. 10% of the class study both Mathematics and Biology. 6. Hence, X can take any value of 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 or 12. Which pairs of these events are mutually exclusive? (i) Two events which are mutually exclusive. (ii) Three events which are mutually exclusive and exhaustive, Let us assume P be the event of getting exactly two tails, Let us assume Q be the event of getting at least two heads, Let us assume R be the event of getting only one tail, PQ = (HTT, TTH, THT)(HHT, HTH, THH, HHH). Here given, P(A) = 0.75, P(AB) 0.5, P(AIBI) = 0.1. Have you ever been troubled by mosquitoes? Given here is the sleeping time of some animals. Mother, father and son line up at random for a family picture Q1. By using these senses, the ants could identify that the other ants were not from this group. If a family has two children, what is the conditional probability that both are girls given that (i) the youngest is a girl, (ii) at least one is a girl? Check whether the following probabilities P(A) and P(B) are consistently defined, (i) P(A) = 0.5, P(B) = 0.7, P(A B) = 0.6, (ii) P(A) = 0.5, P(B) = 0.4, P(A B) = 0.8. Refer to question 6 above, state true or false: (give reason for your answer), (ii) A and B are mutually exclusive and exhaustive. Ask your friends too. Have you noticed that during the cold season you cannot see any lizard in the house? When you see different animals, do you have any questions about them? (iii) E : at most two tails, F : at least one tail, 7. We are pleased to launch our new product Money Maker Software for world's best charting softwares like AmiBroker, MetaStock, Ninja Trader & MetaTrader 4. Let X be the random variable representing a number on the given die. One die of red colour, one of white colour and one of blue colour are placed in a bag. 3. Following a bumpy launch week that saw frequent server trouble and bloated player queues, Blizzard has announced that over 25 million Overwatch 2 players have logged on in its first 10 days. In Class XI of a school 40% of the students study Mathematics and 30% study Biology. An experiment involves rolling a pair of dice and recording the numbers that come up. Date 10th Class Subject; Exam timings: 10.00 am to 12.30 pm and 02.00 pm to 04.30 pm: 01-11-2022: Mathematics I (Morning) and Mathematics II (Evening) TOSS SSC Inter Exams Time table 2023 (TS Open School Exams Time table) NCERT Solutions for Class 11 Maths Chapter 7 Ex 7.1 are helpful to improve the analysing abilities among students in solving problems related to permutations and combinations. Every probability is a small portion of sample space. 11. Comprehensive English Pack for Defence (With Bilingual Solutions). They also find us by the smell of the sole of our feet and the heat of our body. Miscellaneous Exercise Solutions: 10 Questions. (v) Three events which are mutually exclusive but not exhaustive. What will be the total number of permutations of n different things taken r at a time, where repetition is allowed and where 0< r
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