Question

Three cards are drawn from a standard deck of cards, with replacement. True of false, and explain: (a) The chance of getting all hearts is 1.525% (b) The chance of getting at least one heart is 25% + 25% + 25% = 75%.

Answer 1

Saluboni Number of beasts = 13 Total number of cards=52 Tas PC of getting all hearts). . 13.) = 0.01562 à 11.562]. [False) (b) Pl of getting allest one heart ) :|- P ( none of them is heart) = 1- (39) (2 ) - 1 - 0.4219 : 0.5281 - 57.81%. I False L

Answer 2

SOLUTION :

a.

P( 3 hearts from 3 draws with replacement)

= 13/52 * 13/52 * 13/52

= 1/64

= 0.015625

= 1.5625 %  . 

(It is same as given in the statement.)

So, the given statement is TRUE. (ANSWER) 

b.

P( 1 heart at least from 3 draws with replacement)

= 1 - P(no heart)

= 1 - (39/52 * 39/52 * 39/52)

= 1 - 27/64 

= 37/64

= 0.578125

= 57.8125%

 ( Statement tells that it is 75%)

So, the given statement is FALSE. (ANSWER)