Question

In: Statistics and Probability

Consider a deck of cards. Answer each question. Leave your probability as fraction. (5 pts) When...

Consider a deck of cards. Answer each question. Leave your probability as fraction.

  1. (5 pts) When one card is selected, what is the probability that the card is a numbered card

    (2,3,4,5,6,7,8,9,10)?

  2. (5 pts) When one card is selected, what is the probability that the card is a numbered and heart.

  3. (10 pts) When two cards are selected, what is the probability that they are both numbered cards?

  4. (10 pts) When one card is selected, what is the probability that the card is a numbered card giventhat it’s a black card?

  5. (10 pts) Are two events “numbered card” and “black card” independent events? Explain why/ why not.

please explain using calculator

Solutions

Expert Solution

1) Probability (one card select is numbered card) =9/13=0.69

2) Probability (select card is numbered and heart) =9/52=0.173

3) Probability (two cards selected both are numbered) =0.475

4) Probability (card is numbered given card is black) =0.346

5) Probability (numbered card and black) is not equal to Prob (number card) *Prob (black card) hence numbered card and black card are not independent.

Solution file is attached go through it

Thanks

orchestra answered 2 years ago
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