probability problems

I hope we have studied enough on all about probability. In this section let me help you on probability problems with the help of following questions.

Question :-

A card is drawn from a well-shuffled pack of cards and its suit is noted. (spade, clubs, hearts or diamond). This trial is repeated 400 times and the Number of times each suit is drawn is given below.

When a card is drawn at random what is probability that it is
1) a diamond
2) a black card
3) not a spade

Answer:

1) Total number of trials = 400
Number of trials in which a diamond showed up = 76
P (the card drawn is a diamond)



2) Number of times a black card showed up = 96 + 108 = 204
P (the card drawn is black)



3) Number of times a card other than a spade showed up = 108 + 120 + 76 = 304
P (the card is not a spade)