You have two biased coins. Coin A comes up heads with probability 1/4. Coin B comes up heads with probability 3/4. However, you are not sure which is which, so you choose a coin randomly and you flip it. If the flip is heads, you guess that the flipped coin is B; otherwise, you guess that the flipped coin is A. What is the probability P[C] that your guess is correct

3/4

Step-by-step explanation:

Probability is the likelihood of an event.

No.of favourable outcomes/ Total no. of outcomes

Probability of coin selection : [Both coins have equal likelihood of being chosen]

Prob( Coin A Selection) = 1/2 Prob (Coin B selection) = 1/2

Probability of head & tail by both coins :

Prob (Head / Coin A) = 1/4 Prob (Tail / Coin A) = 1 - [ P (Head/Coin A) ] = 1 - 1/4 = 3/4 Prob (Head / Coin B) = 3/4 Prob (Tail / Coin B) = 1 - [ P (Head/Coin B) ] = 1 - 3/4 = 1/4

Probability of getting head by Coin A : Prob (Coin A) & Prob (Head/CoinA)  = 1/2 x 1/4   = 1/8

Probability of getting tail by Coin A : Prob (Coin A) & Prob (Tail/CoinA) = 1/2 x 3/4 = 3/8

Probability of getting head by Coin B : Prob (Coin B) & Prob (Head/CoinB)  = 1/2 x 3/4   = 3/8

Probability of getting tail by Coin B : Prob (Coin B) & Prob (Head/CoinB)  = 1/2 x 1/4   = 1/8

Probability 'The guess [head from coin B, tail from coin A] :

Prob (Coin A) & Prob (Tail/CoinA) or Prob (Coin B) & Prob (Head/CoinB)  

= 3/8 + 3/8 = 3/4

A. love them. b. don’t judge them. c. agree to their perspective. d. use clear and concise language.
the answer is c. it is not needed to always agree to their perspective but you should always explain your perspective in a non-judgmental, clear and concise manner while showing your love.