\( P( \) odd \( ) \cdot \mathrm{P}( \) prime \( \mid \) odd \( )=\frac{5}{10} \cdot \frac{3}{5}=\frac{3}{10} \). If one number is chosen randomly from the integers 1 through 10 , the probability of getting a number that is odd and prime, by the multiplication rule, is Compute the product \( \mathrm{P}( \) prime \( ) \cdot \mathrm{P} \) (odd \( \mid \) prime), and compare to the product above. \( \mathrm{P}( \) prime \( ) \cdot \mathrm{P}( \) odd I prime \( )=\square \) (Type an integer or a simplified fraction.) The two products are

Question 14 A box contains 5 red, 14 blue, and 12 green marbles. a) Two marbles are selected at random with replacement. Find the probability they are both red. *Type your answer as a decimal, round to the nearest 4 decimals. Add your answer

Question 11 A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 2 The probability is : * Type your answer as a decimal, round to the nearest 4 decimals. Add your answer

Suppose a math class contains 23 students, 13 females (six of whom speak French) and 10 males (two of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French.

A bag contains 3 gold marbles, 7 silver marbles, and 26 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win \( \$ 4 \). If it is silver, you win \( \$ 2 \). If it is black, you lose \( \$ 1 \). What is your expected value if you play this game? \( \$ \) tType your answer as a decimal, round to the nearest 2 decimals because this is money.

Question 12 A card is drawn randomly from a standard 52-card deck. Find the probability of the given event (b) The card drawn is a face card (Jack, Queen, or King) The probability is : *Type your answer as a decimal, round to the nearest 4 decimals. Add your answer