4/7 = 8/14 = 12/21 = 16/28, etc
Step-by-step explanation:
1. P(pen then pencil) = 15/25 × 10/25 = 3/5 × 2/5 = 6/25
2. P(pen then pencil) + P(pencil then pen) = 6/25 + 6/25 = 12/25
3. P(pencil then pencil) = 10/25 × 10/25 = 2/5 × 2/5 = 4/25
4. P(at least 1 pen) = 1 − P(no pen) = 1 − 4/25 = 21/25
Answer:
y = 4x - 1
Step-by-step explanation:
slope: 7-3/2-1 = 4
y= mx+b
7= 4(2) + b
b= -1
y = 4x - 1
QUESTION A
The probability of an event is calculated using the formula:

There are 4 nines in a standard deck of cards. Therefore, there are 48 cards that are not nines.
Since there are 52 cards, the probability is calculated to be:

The probability is 12/13.
QUESTION B
Odds in favor of a particular event are given by the number of favorable outcomes to the number of unfavorable outcomes. The formula is written out to be:

Since we have that the number of favorable outcomes is 48 and the number of unfavorable outcomes is 4, we have that the odds in favor are given to be:

The odds are 12 to 1.