Probability Question: Independent Events
To solve this probability question, you can use the fundamental counting principle. Since the events are independent (choosing a 6 and then a 5), you multiply the probabilities of each event happening separately.
There are 8 cards, and there is one 6 in them. Once the 6 is picked, it is not replaced, so there are now 7 cards left. Among these remaining cards, there is one 5.
The probability of picking a 6 on the first try is:
P(6) = 1/8
Then, given that the 6 has been picked, there are 7 cards left, and the probability of picking a 5 is:
P(5 after 6) = 1/7
Now multiply the two probabilities to find the overall probability of both events happening one after the other:
P(6 then 5) = P(6) * P(5 after 6) = (1/8) * (1/7) = 1/56
To express this as a percentage, you divide 1 by 56 and then multiply by 100:
Percentage = (1/56) * 100 ≈ 1.786%
Rounded to the nearest tenth, it is 1.8%.
