Answer:
About 11494.04
Step-by-step explanation:
There is no sphere shown above but I can still get you the answer:
The formula for the volume of a sphere is
π*r³
Putting in the radius, we get:
*π*14³=
*π*2744=
*π=
3658.66*π≈11494.04
The probability of getting a Club given that the card is a Ten is 0.25.
According to the statement
we have given that the there is a deck of the 52 cards and we have to find the conditional probability that the card is a club and the given card is a 10 number card.
So, For this purpose we know that the
Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
And according to this,
The probability P is
P(Club) = 13/52 = 1/4
P(Ten) = 4/52 = 1/13
P(Club and Ten) = (1/4)(1/13) = 1/52
And we know that the
P(Club|Ten) = P(Club and Ten)/P(Ten)
And then substitute the values and it become
= (1/52)/(1/13) = (1/52)(13/1)
= 13/52 = 1/4
= 0.25
So, The probability of getting a Club given that the card is a Ten is 0.25.
Learn more about probability here
brainly.com/question/24756209
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Answer:
0.15651
Step-by-step explanation:
This can be approximated using a Poisson distribution formula.
The Poisson distribution formula is given by
P(X = x) = (e^-λ)(λˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to x)
where λ = mean of distribution = 20 red bags of skittles (20% of 100 bags of skittles means 20 red bags of skittles)
x = variable whose probability is required = less than 16 red bags of skittles
P(X < x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to (x-1))
P(X < 16) = Σ (e^-λ)(λˣ)/x! (Summation From x=0 to x=15)
P(X < 16) = P(X=0) + P(X=1) + P(X=2) +......+ P(X=15)
Solving this,
P(X < 16) = 0.15651