5 cubes are rolled at a time. What is the probability that you get a n..
5 cubes are rolled at a time. What is the probability that you get a number less than 4 on all the cubes? => 83 2594 or 1 2 or 1 32 or None of the above..
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. The time required to make the second type of toy is 8 hours, 4 hours and 4 hours in machines A, B and C respectively. The maximum available time (in hours) for the machines A, B, C are 380, 300 and 404 respectively. The profit on the first type of toy is ..
Applications of Binomial Theorem
Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) ..
Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) ..Conditional Probability
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is t..
Conditional Probability - Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is t..Tally mark
It is a vertical stroke put to represent a particular score. After 4 vertical strokes the fifth stroke is drawn across them to make a bunch of five. This makes the totalling easier. If the number of scores is large, then the range is divided into a number of..
It is a vertical stroke put to represent a particular score. After 4 vertical strokes the fifth stroke is drawn across them to make a bunch of five. This makes the totalling easier. If the number of scores is large, then the range is divided into a number of..Permutations and Combinations Summary
Summary - The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The princi..
Proof:
The number of permutations of n different things taken r at a time is the same as the number of ways of filling n letters and r blank spaces, supposed to be arranged in a straight line as shown above. Each blank is accommodating only one letter. We may fill the firs..
The number of permutations of n different things taken r at a time is the same as the number of ways of filling n letters and r blank spaces, supposed to be arranged in a straight line as shown above. Each blank is accommodating only one letter. We may fill the firs..Frequency Distribution
Frequency Distribution - A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an arra..
Frequency Distribution - A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an arra..Simple Bar Graph
1. All bars have the same thickness. 2. Distance between two consecutive bars is the same. The bars can touch each other. 3. The height of each bar represents the frequency number of students. 4. The thickness has no significance. 5. Bar graphs are preferred whe..
1. All bars have the same thickness. 2. Distance between two consecutive bars is the same. The bars can touch each other. 3. The height of each bar represents the frequency number of students. 4. The thickness has no significance. 5. Bar graphs are preferred whe..Suggested answer:
X is the number of aces drawn while drawing two cards from a pack of cards. The total ways of drawing two cards 5 2 C 2 . Out of 52 cards these are 4 aces. The numbers of ways of not drawing an Ace = 4 8 C 2 . The number of ways of dra..
X is the number of aces drawn while drawing two cards from a pack of cards. The total ways of drawing two cards 5 2 C 2 . Out of 52 cards these are 4 aces. The numbers of ways of not drawing an Ace = 4 8 C 2 . The number of ways of dra.. Result
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