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Example of Probability:
Example:
By using a die, what is the probability of rolling two 3s in a row?
Solution:
From the previous example, there is a 1/6 chance of rolling a three on a single throw. Thus, the chance of rolling two threes is:
1/6 x 1/6 = 1/36 one in 36 tries.
An elementary game is played through rolling a die and drawing a ball from a bag holding 3 white and 7 black balls. The player wins while he rolls a number less than 4 and draws a black ball. What is the probability of winning in the first attempt?
There are 3 successful outcomes for rolling less than a 4, (i.e. 1,2,3). The probability of rolling a 3 or less is:
3/(3+3) = 3/6 = 1/2 or 50%.
A probability of drawing a black ball is:
7/(7+3) = 7/10.
Thus, the probability of both events happening at the similar time is:
7/10 x 1/2 = 7/20.
The law of cosines can only be applied to acute triangles. Is this true or false?
Next we have to talk about evaluating functions. Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at
Equations of Lines In this part we need to take a view at the equation of a line in R 3 . As we saw in the earlier section the equation y = mx+b does not explain a line in R
a) Choose a topic in measurement, and design two activities in your context to help your pupils explore and learn the concept. b) Try these activities out on a few children, and
Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
10 puzzles
Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step
f(x)= 2e^5x+6 find the domain of f and find x-intercept.
(x+15)/y=10 where y=5
Solve the following pairs of simultaneous equations by elimination method i.2x+y=10 ii. 3x+y=6 3x-2y=1 5x+y=8 solve the following simult
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