Question

3. Consider the following:

Answer 1

Answer:

a.) Digits on the 5 cards are 1,2,3,4,5. You pick one card. You win if you pick a card having an even number.

b) Digits on the 5 cards are 1,2,3,4,5. You pick two cards. You win if you pick fist the card having number 5 and then the card having number 4.  

Step-by-step explanation:

a) The probability of picking an even number is:

picking a card with even numbers (picking 2 or 4)  / all cards (1,2,3,4,5)

• $\frac{2}{5} =0.4$

b) Probability of picking the card having 5 first

• $\frac{1}{5}$

Then the probability of picking the card having number 4 from the remaining 4 cards:

• $\frac{1}{4}$

Combined probability, that is picking first number 5 and then number 4 is

• $\frac{1}{5} *\frac{1}{4} =\frac{1}{20} =0.05$