40 / 80 = 50 so your answer would be 50%
Answer:
10 bracelets
Step-by-step explanation:
The probability of an event A occurring given that B has occurred is
P(A | B) = P(A and B) / P(B)
a. By the definition above,
P(spade | black) = P(spade and black) / P(black)
- P(black) = 26/52 = 1/2 because 26 of the 52 cards have a black suit
- All spade cards are black, so P(spade and black) = P(spade) = 13/52 = 1/4
Then P(spade | black) = (1/4) / (1/2) = 1/8.
b. We can do the same breakdown as in (a), or we can make use of the definition of conditional probability
P(A | B) = P(A and B) / P(B) = (P(B | A) * P(A)) / P(B)
Then
P(black | spade) = (P(spade | black) * P(black)) / P(spade)
- P(black) = 1/2
- P(spade) = 1/4
- P(spade | black) = 1/8
Then P(black | spade) = (1/8 * 1/2) / (1/4) = 1/64.
c. By definition,
P(7 | black) = P(7 and black) / P(black)
- P(7 and black) = 1/52 because this is a unique card
- P(black) = 1/2
Then P(7 | black) = (1/52) / (1/2) = 1/104.
d. By definition,
P(king | face) = P(king and face) / P(face)
- All kings are face cards, so P(king and face) = P(king) = 4/52 = 1/13
- P(face) = 12/52 = 3/13
Then P(king | face) = (1/13) / (3/13) = 1/3.
The answer is option b) 782.59
<u>Step-by-step explanation</u>:
- For rounding a decimal to two decimal places, write the number along with first two numbers after the decimal point.
- look for the third digit after the decimal point, whether the number is greater than 5 (or) less than 5.
- If the third number is greater than 5, then add 1 to the previous number
- If the third number is less than 5, then keep the previous digit as it.
Step 1 :
The number is 782.5894
write up to two numbers after the decimal point and omit the remaining numbers.
The number is 782.58
Step 2 :
Now, look the third number after the decimal point is 9 (greater than 5)
So add 1 to the previous number (8+1 =9), the number becomes 782.59
∴ The number rounded to two decimal places is 782.59
I think this is what you want.
5 and 10. This would work because 5 goes into 10.
Example: 5, 10, 15, 20
10, 20
They both have a 10