Identify the sample space and the event in the following statements [Example in

Question

Identify the sample space and the event in the following statements [Example in The change of rolling an open number with a six sided die is 1/2 ^degree, the sample space is the number 1-6, and the event is the number 2,4 and 6 [better event is even numbers 6 or less]) The chance of lipping 2 heads in a run with s far coin is 1/4. The chance of drawing a face card mu Q, K] form the top of a dack of 52 cards is 3/13. In a non-leap year, the probability of randomly selecting a day in a month with 31 days is 217/365

Explanation / Answer

HERE WE HAVE TO GIVE THE SAMPLE SPACE AND THE EVENT OF THE GIVEN STATEMENT.

A) WHEN A COIN IS FLIPPED

WE HAVE TWO CHOICES = SAMPLE SPACE = {H.T}

WHEN WE FLIP THE COIN TWO TIME THE SAMPLE SPACE = {HH.HT,TH,TT}

SO EVENT OF TWO HEAD = {HH)

PTOBABILITY = 1/4

B) IN TOTAL WE HAVE 52 CARDS

AND WE HAVE TOTAL 12 FACE CARDS

3 IN EACH 4 SET OF CLUB,SPADE,DIAMOND,HEART

THEREFORE TOTAL FACE CARD = 12

PROBABILITY = 12/52 = 3/13

C) IN A NON LEAP YEAR WE HAVE 365 DAYS

MONTH WITH 31 DAYS = 7

TOTAL DAYS IN MONTH WITH 31 DAYS = 31*7 = 217

THEREFORE SELECTING MONTH WITH 31 DAYS = 217/265

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