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2 answers:
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Answer:
a. 4/52
b. 1/2
c. 1/4
d. 10/13
Step-by-step explanation:
In order to obtain the probabilities, you have to apply the formula:
Where P(A) is the probability of an event A, n(A) is the number of favorable outcomes for the event and n is the total number of possible outcomes.
<u>For part a:</u>
The total number of 4 cards is 4, because there are four suits and a card 4 for each suit
n(a)= 4
n=52 (The total number of cards)
P(a)=4/52
<u>For part b:</u>
There are two suits with black cards and 13 cards in each suit. Therefore, the number of black cards is: 13(2)=26
n(b)=26
n=52
P(b)=26/52=1/2
<u>For part c:</u>
The total number of cards with diamonds is 13
n(c)=13
n=52
P(c)=13/52=1/4
<u>For part d:</u>
There are 3 face cards in each suit, therefore the total number of face cards is (3)(4)=12. The rest of the cards are none-face cards, therefore:
n(d)= 52-12 = 40
n=52
P(d)=40/52=10/13
Answer:
311.36
Step-by-step explanation:
For a geometric series sum of first n terms is
if r is less than 1.
where a is the first term and r is the common ratio.
____________________________\
given
a = 108
r =
n = 8
thus , sum of n term is
Thus sum of first 8 terms is 311.36