Business statistics 221 Probability15. Consider the experiment of selecting a playing card from a de

Business statistics 221 Probability15. Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability.a. List sample points in the event an ace s selected. P(AS)= 1/52 P(AC)= 1/52 P(AD)= 1/52 P(AH)= 1/52 S={ 1, 2, 3, 4}b. List sample points in the event a club is selected. 13 Akqj2345678910Club CardProbability Sample PointAce1/52K1/52Q1/52J1/5221/5231/5241/5251/5261/5271/5281/5291/52101/52List the sample points in the event a face card is selected.P(KH)/52P(KD)= 1/52P(KS)= 1/52P(KC)= 1/52S= [(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}]d. Find the probabilities associated with each of the events in part, above. P(Ace)= ) 4= 0.0769 52 P(Club) = 13= .25 52 P(Face) = 12= .2307 5221. Data on U.S. work-related fatalities by causeFatalitiesNumber of FatalitiesTransportation incidents1795Assaults and violent acts837Contact with objects and equipment741Falls645Exposure to harmful substances or environment404Fires and explosions113a. What is the probability the fatality resulted from a fall? P(Falls)b. What is the probability the fatality resulted from a transportation incident? P(Transp)= 1795c. What cause of fatality is least likely to occur? Fires and explosions What is the probability the fatality resulted from this cause? P(Fires/Expl)=645