Question

There are 13 cards with diamonds in a standard deck of 52 cards.What is the probability of drawing a diamond from a standard deck of cards AND getting tails uponflipping a coin?OOa.)O31/220ΟΣ1100114

Answer 1

Given: A deck of 52 cards with 13 diamond cards.

Required: To determine the probability of drawing a diamond card and tails upon flipping a coin.

Explanation: Let E be the event where a diamond card is drawn, and F be the event where the tail occurs.

Then, since there are 13 diamond cards among a deck of 52 cards. Thw probability of drawing a diamond card is-

$\begin{gathered} P(E)=\frac{13}{52} \\ =\frac{1}{4} \end{gathered}$

Similarly, the probability of getting the tails in flipping a coin is-

$P(F)=\frac{1}{2}$

Thus, the probability of drawing a diamond card and getting tails upon flipping a coin is-

$\begin{gathered} P(E)\times P(F)=\frac{1}{4}\times\frac{1}{2} \\ =\frac{1}{8} \end{gathered}$

Final Answer: Option C is correct.