A card is drawn from a deck of 10 cards numbered 1 through 10 and a number cube is rolled. Find each probability.1. P( 10 and 3) 2. P ( two even numbers)3. P( two prime numbers)4. P ( 9 and an odd number)5. P ( two numbers less than 4)6. P ( two numbers greater than 5) ​

Answer:1. P (10 and 3) = 1/10 * 1*6 = 1/60.2. P (two even numbers)  = 5/10 * 3/6 = 15/60 = 1/4.3. P (two prime numbers)  = 4/10 * 3/6 = 12/60 = 1/5.4. P (9 and an odd number)  = 1/10 * 3/6 = 3/60 = 1/20.5. P (two numbers less than 4)  = 3/10 * 3/6 = 9/60 = 3/20.6. P (two numbers greater than 5) = 5/10 * 1/6 = 5/60 = 1/12.Step-by-step explanation:The card has the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.The number cube has the numbers 1, 2, 3, 4, 5, and 6In the deck of cards, 5 are odd and 5 are even. Also, there are 4 prime numbers in the deck. Also, there are 3 even and 3 odd numbers on the number cube. Also, there are 3 prime numbers cube. Therefore,P(Selecting any card from the deck) = 1/10.P(Any number is rolled on the dice) = 1/6.Assume that probability of the cards and the cube are independent. So the probabilities can be calculated.1. P (10 and 3) = 1/10 * 1*6 = 1/60.2. P (two even numbers)  = 5/10 * 3/6 = 15/60 = 1/4.3. P (two prime numbers)  = 4/10 * 3/6 = 12/60 = 1/5.4. P (9 and an odd number)  = 1/10 * 3/6 = 3/60 = 1/20.5. P (two numbers less than 4)  = 3/10 * 3/6 = 9/60 = 3/20.6. P (two numbers greater than 5) = 5/10 * 1/6 = 5/60 = 1/12.So the probabilities have been mentioned!!!