A bag contains 10 cards each with a different number from 1 to10. I pick a card

Question

A bag contains 10 cards each with a different number from 1 to10. I pick a card without looking. What is the probability Iwill pick the card with number 6? With the same 10 cards, what is the probaility I will pick acard with an even number? With the same 10 cards, what is the probability I will pick acard with a prime number? With the same 10 cards, what is the probability I wll pick acard with a number less than 4? A bag contains 10 cards each with a different number from 1 to10. I pick a card without looking. What is the probability Iwill pick the card with number 6? With the same 10 cards, what is the probaility I will pick acard with an even number? With the same 10 cards, what is the probability I will pick acard with a prime number? With the same 10 cards, what is the probability I wll pick acard with a number less than 4?

Explanation / Answer

1) Each card has the same probability so P(pick 1)= P(pick 2) = ...=P(pick 10) So P(pick 6) = 1/10 2) The even ones are: 2,4,6,8,10 --> 5 numbers The total number is 10, so P(even) = 5/10 =0.5 3) Prime numbers are: 2 3 5 7 ... P(prime number) =4/10 = 2/5 4) 1 2 3 P(less then 4) = 3/10

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