Question

Which of the following statements is false? a. The probability of getting the king of diamonds when randomly drawing a card from a well-shuffled deck is 1/52. b. The probability of getting a black card when randomly drawing a card from a well-shuffled deck is 1/2. c. The probability of getting a 15 when randomly drawing a card from a well-shuffled deck is 4/52. d. The probability of getting two heads when tossing a fair coin twice is 1/4. e. The probability of getting the king of spades when randomly drawing a card from a well-shuffled deck is 4/52.

Answer 1

ANSWER:-

In the given statements, 'd' and 'e' are false statements.

i.e,

d. The probability of getting two heads when tossing a fair coin twice is 1/4.

reason:-

Here p(E) = 2, p(s) =4

Then, The probability of getting two heads when tossing a fair coin twice = (2/4) =1/2

e. The probability of getting the king of spades when randomly drawing a card from a well-shuffled deck is 4/52

Reason :-

here, p(E) = 1, p(s) = 52

Then, The probability of getting the king of spades when randomly drawing a card from a well-shuffled deck = (1/52).

(note : option c is not clear, they used 15)