Suppose that 7 cards are drawn from a? well-shuffled deck of 52 cards. What is the probability that all 7 are heartshearts?
1 answer:
There are 13 hearts in the deck of 52.
If we want to simply choose 7 of them, we use combinatorics, and not permutations.
Thus, the total number of ways to choose 7 of the 13 hearts, is: ¹³C₇ or 1716 ways.
The total in our sample space is simply choosing 7 of the 52 cards, which is: ⁵²C₇ or 133 784 560.
Thus, the probability becomes:
If we want to simply choose 7 of them, we use combinatorics, and not permutations.
Thus, the total number of ways to choose 7 of the 13 hearts, is: ¹³C₇ or 1716 ways.
The total in our sample space is simply choosing 7 of the 52 cards, which is: ⁵²C₇ or 133 784 560.
Thus, the probability becomes:
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Answer:
50 Minutes.
Step-by-step explanation:
The function c approximates the total number of calls made after m minutes since the start of the phone tree.
We need to find the number of minutes after which the total number of calls will 363.
Substitute c(m)=363 in the given function.
Multiply 3/2 both sides.
Add 1 on both sides.
On comparing both sides we get
Multiply both sides by 10.
Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.