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Question

Suppose you have a pack of 52 cards. In 12 attempts, you pick a red card 5 times. Find the relative frequency for picking the red card.

Also, find the probability P(B) of drawing a black card.

A
Relative frequency for the red card =512

P(B)=12
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B
Relative frequency for the red card =125

P(B)=12
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C
Relative frequency for the red card =512

P(B)=13
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D
Relative frequency for the red card =512

P(B)=14
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Solution

The correct option is A Relative frequency for the red card =512

P(B)=12

We are given that out of 12 trials, red card got picked up only 5 times.

To find the relative frequency for the red card, we need two data sets:
Number of times red card actually got picked up, i.e., 5.
Total trials done for picking up the card, i.e., 12.

Relative frequency for the red card =Number of times red card actually got picked upTotal trials done for picking up the card

=512

In a pack of 52 cards, 26 cards are of red color and 26 cards are of black color.

P(B) denotes the probability of drawing a black card.

Then,
P(B)=Number of favorable outcomesTotal number of outcomes

Number of favorable outcomes =26
Total number of outcomes =52

P(B)=2652

P(B)=12



The relative frequency for the red card is 512 and the probability of drawing a black card is 12.


Therefore, option (a.) is the correct answer.

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