Question

quiz 6.4.1 - adding probabilities
this quiz will test your knowledge on when and how to add probabilities together.
value: 3
a bag contains three yellow tickets numbered on to three. the bag also contains four green tickets numbered one to four. what is the probability of randomly picking a ticket that is yellow or has an even number?
a. 6/7
b. 5/11
c. 5/7
d. 3/7

Explanation:

Step1: Calculate total number of tickets

There are 3 yellow tickets and 4 green tickets, so the total number of tickets is $3 + 4=7$.

Step2: Determine number of favorable outcomes

Yellow tickets: 3. Even - numbered green tickets: 2 (green tickets numbered 2 and 4). But we need to avoid double - counting. The total number of favorable outcomes is $3+2 = 5$.

Step3: Calculate probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{5}{7}$.

Answer:

C. 5/7