Question

A student uses spinner r and spinner t to generate two-digit numbers. Spinner r determines the digit in the tens place, and spinner t determines the digit in the ones place. What is the probability that the two-digit number determined by spinning each spinner one time is a prime number?

Answer 1

The probability of spinning a prime number on both spinner r and spinner t is 8/45.

Step-by-step explanation:

The probability of spinning a prime number on both spinner r and spinner t can be found by determining the number of favorable outcomes and dividing it by the total number of possible outcomes. Spinner r has 9 possible outcomes (1 through 9) and spinner t has 10 possible outcomes (0 through 9). Out of these, the prime numbers are 2, 3, 5, and 7. Since both spinners are independent events, you can multiply the probabilities. The probability of spinning a prime number on both spinners is (4/9) * (4/10) = 16/90, which simplifies to 8/45.