Question

Box I contains 3 red (R1, R2, R 3) and 2 blue (B
B, 2) marbles while box II contains 2 red (R2), R_2)
and 4 blue (B1, B2, B3, B2) marbles. A fair coin
is tossed. If the coin turns up head, a marble is
chosen from box I, if it turns up tail, a marble is
chosen from box II.
Describe the sample space.​

Answer 1

Step-by-step explanation:

Correct option is

B

52

A] Event A = { o red marbles is chosen}

B1= {Box 1 is chosen}

B2= {Box 2 is chosen}

By formula  for total probability 

P(A)=P(A/B1)P(B1)+P(A1B1)P(B2)

P(B1)=P(B2)=21,P(A1B1)=53

P(A1B2)=102=51

So, P(A)=21×53+21×51=101=5

hope this helped you