A card is randomly taken from an ordinary pack of cards and not replaced. This process is repeated again and again. Explain, with calculations, why these probabilities are found: (a)p(First card is a heart) = 1/4
(b)p(Second card is a heart) = 1/4
(c)p(Third card is a heart) = 1/4
(d)p(Fourth card is a heart) = 1/4 and so on.

it's not random they other have something sticky or a corner folded or the card might just go the opposite way then the rest of the cards.

step-by-step explanation:

your mom

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°