Question

Marsha is playing a game with a set of cards numbered 1 through 10. What is the probability that Marsha will select a card with an odd number on it, replace it back into the deck, and then pick a card that has a value larger than 3?

Answer 1

Let:

A = Pick a card with an odd number

B = Pick a card that has a value larger than 3

N = Total number of cards

so:

`\begin{gathered} P(A)=(5)/(N)=(5)/(10)=(1)/(2) \\ P(B)=(7)/(N)=(7)/(10) \end{gathered}`

Since they are independent events:

`\begin{gathered} P(A\cap B)=P(A)\cdot P(B) \\ P(A\cap B)=(1)/(2)\cdot(7)/(10)=(7)/(20)=0.35 \end{gathered}`

Answer:

35%