Question

As a part of a contest, a computer picks a digit from 0 to 7, inclusive, 3 times. if the 3 digits are all the same, the contestant wins a prize. what is the probability that the player will win a prize? a. 1 512 b. 1 343 c. 1 64 d. 1 49

Answer 1

Answer: 1/64

Step-by-step explanation

There are 8 instances where we could win a prize. Those are:

• 000
• 111
• 222
• 333
• 444
• 555
• 666
• 777

There are 8^3 = 512 different ways to pick the three digits where repeat selections are allowed. Therefore, 8/512 = 1/64 is the probability of winning the prize.