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Calculate the introduction to Probability?
Probability refers to the chance that an event will happen. Probability is presented as the ratio of the number of ways an event can occur relative to the number of possible outcomes.P(event) = (Number of ways an event can occur)/ (Number of possible outcomes)
Example 1:
If you pick from a bag that contains 2 blue marbles, 3 green marbles, and 4 red marbles, what's the probability of picking a red marble?
P(red) = Number of red marbles/ Total number of marbles = 4/(2+3+4)= 4/9 (about 44% chance)
Example 2: If you roll a die, what's the probability of rolling: a. a six?b. an odd number?c. a number less than 3? Solutiona) P(Six) = 1/6 (about 17% chance)b) P(odd: 1,3,5) = 3/6= ½ (50% chance)c) P(<3:2,1) = 2/6 = 1/3 (33% chance)
A solid is formed by cutting the top off of a cone with a slice parallel to the base, and then cutting a cylindrical hole into the resulting solid. Determine the volume of the holl
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
In how many ways 30 identical balls can be DISTRIBUTED among 4 boys?? Ans) Let they get a,b,c,d respectively. You requireto find the non negative integral results of a+b+c+d=3
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