Answer:
Step-by-step explanation:
Sample space is 36C4
Now, we want to know all of the combinations that have 1 digit in it.
So, we can have one here:
1XXX
X1XX
XX1X
XXX1
But we have 10 different digits to choose from. So, we need to introduce the combination term, nCr, where n is a list of all digits and r is how many we want.
Since we only want one, we will need 10C1 for the number of digits. But we need to choose three lowercases, so it becomes 10C1 × 26C3
Since it's a probability question, we need to divide that by our sample space, 36C4, and our percentage becomes 44%
Answer:
6 yds^3
Step-by-step explanation:
I find these easiest if you put all of the dimensions into yards and then multiply
18 ft = 6 yds
36 ft = 12 yds
3 in = 3/36 yds = 1/12 yds now multiply them together
6 x 12 x 1/12 = 6 yds^3
Answer:
0.5:1
Step-by-step explanation:
laps:minutes
So we can find how much Ronald runs in 2 minutes, by dividing 6:12 (or 6/12) by 6. This will give you 1:2 (One lap = 2 minutes).
But you're looking for 1 minute, so with 1:2, you have to divide them by 1/2, so it will be 0.5:1.
Answer:
A) there are 13 cards per suit and 4 suits, a total of 52 cards. So there are 13*2=26 red cards in a deck of 13*4=52, the odds of drawing a red card are 26/52=1/2=50%
B) Again outside knowledge is required, you name four suits but not their colors. Nonetheless, unless this is a very unusual deck, the diamonds and hearts are red, spades and clubs black. So that’s 2 red suits out of 4 suits. 2/4=1/2=50%
C) there are 2 black suits and 2 red suits. The odds of getting a red card are 2/(2+2)=2/4=1/2 or 50%
Each of those answers is a different way to figure the odds, they come out the same each time, as expected.
However, what if we assume that you mean… when drawing a 5 card poker hand? Or when Penn Jillette asks you “is this your card?”+ Or if you draw every card in the deck? Or if you are playing some macabre game in which you die if you draw the ace of spades but you may only stop drawing if you draw a red card?
There are myriad possible meanings to your question, I’ve just made the simplest assumption and given the odds on that… but my answer is woefully incomplete.
+ Hint, when Penn Jillette asks you “is this your card” your card is always the 3 of clubs. So… 0% chance.
Answer:
= 14X + 6
Step-by-step explanation:
