Math, asked by ChetansMehra4179, 8 months ago

Question9500 students are enrolled in a community college. Of 9500, 3350 have a Visa, 2200 have a MasterCard, and 860 have both credit cards. Find the probability that a student selected randomly:Has only Visa Card.Has both Visa and a MasterCard.Has exactly one of the card.Has neither a Visa nor a MasterCardDraw the Venn diagram​

Answers

Answered by rk1632847
0

Answer:

5,550.09

Step-by-step explanation:

visa card as x

master card as y

credit card as z

x= 0.3526

x, y=2,2000.37

xyz=5,550.09

Answered by steffiaspinno
1

Answers are:

  • The probability that the student has a Visa card =\frac{67}{190}
  • The probability that the student has both the cards =\frac{43}{475}
  • The probability that the student has exactly one of the cards =\frac{469}{950}
  • The probability that the student neither has a Visa card nor a Master card =\frac{79}{190}

(Venn diagram attached)

Step-by-step explanation:

The total number of students =  9500

The number of students having Visa = 3350

The number of students having Mastercard= 2200

The number of students having both the cards = 860

Probability= \frac{Number of favorable outcomes}{Total number of outcomes}

  • The probability that the student has a Visa card = \frac{3350}{9500}=\frac{67}{190}
  • The probability that the student has both the cards = \frac{860}{9500} =\frac{43}{475}
  • The probability that the student has exactly one of the cards = \frac{3350+2200-860}{9500} =\frac{4690}{9500}=\frac{469}{950}
  • The probability that the student neither has a Visa card nor a Master card = \frac{9500 -5500}{9500} =\frac{3950}{9500} =\frac{79}{190}

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