For all probability exercises, the probability is always
(the number of possible 'successful' results)
divided by
(the total possible number of results).
1). Number of diamonds in the deck = 13
Total cards in the deck = 52.
Probability = (13/52) = 1/4 = 25%
2). Probability of the first one being a diamond = 1/4 .
Now there are 51 cards left, and 12 of them are diamonds.
Probability of the second one being a diamond = 12/51
Probability of both events =
(1/4) x (12/51) = 3/51 = about 5.88% (rounded)
3). First one is a diamond: 13/52
Now there are 51 cards left, and 13 of them are clubs.
Second one is a club: 13/51.
Probability of both events = (13/52) x (13/51)
= 169/2652 = about 6.37% (rounded)
4). Same logic, same solution, as #3.
5). 6.37% chance that it happens with the diamond coming up first,
6.37% chance that it happens with the club coming up first.
Probability of either one happening = 12.74% (rounded).
Step-by-step explanation:
The attached figure shows two triangles AOB and MON.
In triangles AOB and MON,
AB = MN (Given )
∠AOB = ∠MON (vertically opposite angles)
∠O = ∠O (common)
∴ ΔAOB ≅ Δ MON (ASA)
Angle-side-angle is the postulate that can be used to prove that two triangles are congruent.
There are three significant figures in that.
Answer:
x=80
Step-by-step explanation:
Answer:
20/9 sq.feet
Step-by-step explanation:
The width is 4/3 ft because 1/3 times 4 is 4/3 and the length is 5/3 because 1/3 times 5 is 5/3.
Then to find the area you do length times width.
5/3 ×4/3= 20/9 sq. feet
I hope this helps! :)