Trigonometry and Probability (Class 10)

Meritnation|Feb 27th, 2012 05:11pm

Let us talk about the sections “Trigonometry” and “Probability”.  Both of these are very interesting and have a great appeal to real life. Together they can  add 14 marks to your treasure. Get through the following material to make the final strategy for this duo.

Probability carries the weightage of 6 marks which can be earned by just applying one formula and that is:

Probability of an event = Number of favorable outcomes / Total Number of Outcomes

The most common experiments which are discussed in the questions are as follows:

Experiment or Event Total outcomes Type of question
Throwing a dice 6 Probability of coming any number, multiple of any number, sum of two consecutive or subsequent throws
Drawing a playing card 52 (13 cards of each of Diamond, Club, Heart and Spade) Drawing a card of any group (spade, heart, club, diamond), colour (red and black), type (king, queen, jack…etc)
Day of the year 365
366 in leap year
How many (Sundays, Mondays,….etc.) will be in the leap year,
n number of coins are tossed 2n Probability of coming all tails/ heads/ n numbers of tails/heads etc.

Here are few questions which are being repeatedly asked on Ask and Answer on these chapters. Follow the link:

https://www.meritnation.com/discuss/question/1804895/find-the-probability-of-getting-53-sundays-in-a-leap-year

https://www.meritnation.com/discuss/question/561488/what-is-the-probability-of-getting-wednesday-in-a-leap-year

https://www.meritnation.com/discuss/question/446669/find-the-probability-that-a-leap-year-selected-at-random-will-contain-53-sundays

https://www.meritnation.com/discuss/question/1822288/two-dice-are-thrown-simultaneously-what-is-the-probability-that-5-will-come-at-each-one

https://www.meritnation.com/discuss/question/1787592/a-b-take-turns-in-throwing-two-dice-the-first-to-throw-a-sum-1o-being-awarded-show-that-if-a-has-the-first-throw-their-chances-of-winning-i

https://www.meritnation.com/discuss/question/1787435/a-pair-of-dice-is-thrown-3-times-if-getting-of-10-as-a-sum-is-a-success-find-the-probability-distribution-of-number-of-success

Apart from that,  questions like “drawing balls from a bag” are very common. So, make the concept to solve these types of questions to get full marks in Probability.

You can get a brief overview of playing cards from the given table.

Type Number of cards Colour Ace, King, Queen, Jack Cards from 2 to 10
Heart 13 Red 1,1,1 1 each
Diamond 13 Red 1,1,1 1 each
Cube 13 Black 1,1,1 1 each
Spade 13 Black 1,1,1 1 each

Similarly, questions related to “throw of two dice”, maximum outcomes are given below as:

cube4

In Trigonometry, there is one chapter in the syllabus i.e., “Heights and Distances”. The most interesting thing about the problems of “Heights and Distances” is that if you are able to draw the correct diagram with the given information then the question can be solved very easily. Apart from that, keep the following things in your mind to handle this section.

  1. Always draw figure in exam and mark what all dimensions are given to you. Also, mark the required lengths by h, x or any other variable. This will help you to find the remaining lengths required to put in trigonometric ratios used in triangles formed in figure.
  2. The angle of elevation is formed when head to be raised to see the object while the angle of depression is formed when head to be lowered to see the object. Both are made between line of sight and the horizontal line.
  3. In questions with two unknown variables, always substitute value of one variable found from one triangle into other. This will help you to find the unknown variables easily.

Prepare well! Be confident!

Best of Luck

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