Answer:
32x107=3424=3,424*
Step-by-step explanation:
Answer:
Using sum and product method you can simplify the top as:
x^2-4x-5 = (x-5)(x+1) and x^2-5x+4 = (x-4)(x-1)
The x-4 and the x+1 cancel each other out and you will be left with
(x-5)/(x-1)
Step-by-step explanation:
Answer:

Step-by-step explanation:
3 envelopes having 2 red card
2 envelopes having 1 red card and 1 black card
1 envelope having 2 black cards
We are given that . An envelope is selected at random and a card is withdrawn and found to be red.
So, No. of ways of envelope having red card = 3+2 = 5
No. of required ways of envelope having 1 red card and 1 black card = 2
So, probability of getting an envelope having 1 red card and 1 black card = 
Hence The chance the other card is black is 
<h3>
Answer: 1/2</h3>
Explanation:
Here's the event space
E = {1,2,3}
this represents all of the desired events we want, which is rolling less than a 4 on a standard number cube (aka a die). There are A = 3 items in this set.
The sample space is the set of all possible outcomes, namely,
S = {1,2,3,4,5,6}
which is all of the values on the die. There are B = 6 items in this set.
Divide the values of A and B to get the theoretical probability:
P(rolling a number less than 4) = A/B = 3/6 = 1/2