Answer:
17/50
Step-by-step explanation:
P(red or purple) = number of red or purple / total
There are 7 red rings and 10 purple rings
= (7+10) / 50
= 17/50
Since both of them are 3 meters from one side of the 25 meter pool, the distance that they have to cover is actually only 22 meters only. To answer this item, we let x be the distance covered by Ario and 22-x be his remaining distance. Such that,
x/(22-x) = 1/4
The value of x from the equation is 4.4.
Therefore, the distance that Ario had covered is 4.4 m.
1) first pick red 5/9 blue 4/9
2) second pick when red has been picked red now becomes 4/8, blue stays 4/8
2) Second pick when blue has been picked blue now becomes 3/8, red stays 5/8
Mind you, you only need both different colours so:
first pick red 5/9 x sec pick blue 4/8 = 20/72
and first pick blue 4/9 x sec pick red 5/8 = 20/72
add both up 20/72 + 20/72 = 40/72 = 5/9
i Am so cool
You can’t beat me I am the gingerbread man
Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is
. So:


There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.