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Chapter 7: Q56. (page 349)

You forgot the last two digits of your friend鈥檚 phone number. You know that the next-to-last digit is 4 or 5, and the last digit is an odd number. If you guess the phone number, what is the probability that you will be correct? Write your answer as a percent.

Short Answer

Expert verified

The probability that the number guessed is correct is 10%.

Step by step solution

01

Step 1. Given Information.

The last two digits of the phone number is to be guessed.

The next-to-last digit is 4 or 5 and the last digit is an odd number.

02

Step 2. Calculation.

As per the problem,

The next-to-last digit of the phone number is 4 or 5.

The last digit is an odd number.

There are 5 odd numbers between 0 to 9.

The possible outcomes are:

4,1,4,3,4,5,4,7,4,9,5,1,5,3,5,5,5,7,5,9

There are 10 possible outcomes and only 1 outcome is favourable.

Therefore, the probability that the number guessed will be correct =110.

The probability as percent = 10%[write fraction as percent]

03

Step 3. Conclusion.

The probability that the number guessed will be correct is 10%.

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