if a single card is drawn from a standard 52 card deck what is the probability that it is neither a jack nor a club

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

A single card is drawn from a standard 52 card deck

Determine the probability that the card drawn is neither a jack nor a club.

Solution:

Since there are 3 jacks excluding the jack of clubs and 13 clubs, we can subtract 16 by 54, and divide the difference by 54 in order to get the probability.

= 54 -16

=38

= 38/54

= 0.703

Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.

= (0.703)(100)

= 70.3%

Final answer:

The probability of drawing neither a jack nor a club is 70.3%