Question

Cards: Suppose you draw one card from a single deck of cards.

(a) What is the probability that you draw an queen? Round your answer to 3 significant digits*.


(b) What is the probability that you draw a heart? Round your answer to 3 significant digits*.


(c) What is the probability that you draw the queen of hearts? Round your answer to 3 significant digits*.

...............................................
*Significant Digits: Here are some probabilities expressed to 3 significant digits.
You start counting digits from left to right starting with the first non-zero digit.

0.123      0.0123      0.00123      0.102      0.350      0.300

...............................................
Background playing card information: In a standard deck of playing cards there are 52 cards total. There are 4 suits:

hearts ♥      diamonds ♦      spades ♠      clubs ♣

Each suit has 13 values:

2  3  4  5  6  7  8   9  10  jack  queen  king  ace  

Answer 1

Here, we have to obtain the probability in case of drawing a card from a deck of 52 cards.

Note that one card can be drawn from a deck of cards in

  ways.

Now,let us answer the following questions:-

(a) What is the probability that you draw an queen?

ANSWER:- Since there are 4 queens in total.We can select a card of Queen in

ways.

Hence, P(drawing a Queen)= 4 / 52 = 0.076

So, P(Drawing a card of Queen)= 0.076

(b) What is the probability that you draw a heart?

ANSWER:- Since there are 13 cards of Heart.

One card of heart can be selected in

ways.

Hence, P(Drawing a card of Heart)= 13 / 52 = 1/4=0.250

So, P(Drawing a card of heart)= 0.250

(c) What is the probability that you draw the queen of hearts?

ANSWER:- Since there are 4 queens. That is 1 queen of each type.

So, we have 1 Queen of Hearts.

So, that Queen of Hearts can be selected in

way.

Hence, P(Drawing a card of Queen of Hearts)= 1/52= 0.019

So, P(Drawing a card of Queen of Hearts) = 0.019

This answers your question.

If you understood the answer please rate Positively.