Final answer:
The probability of randomly picking a yellow or even-numbered ticket is 5/7 or approximately 0.71.
Step-by-step explanation:
To find the probability of randomly picking a ticket that is yellow or has an even number, we need to count the total number of tickets that meet this condition and divide it by the total number of tickets in the bag.
There are 3 yellow tickets and 4 green tickets. Out of the green tickets, 2 are even-numbered (2 and 4). Therefore, there are a total of 5 tickets that meet the condition (3 yellow tickets + 2 green even-numbered tickets).
The bag contains a total of 7 tickets (3 yellow tickets + 4 green tickets). Therefore, the probability of randomly picking a ticket that is yellow or has an even number is 5/7 or approximately 0.71.