Draw a tree Diagram illustrating the events:
1. Two cards are drawn in succession with replacement from a standard deck of 52 and its suit is observed.

2. A fair die is tossed followed by a fair coin

Respuesta :

1.
There are 4 possible suits, hearts (H), clubs (C) spades (S) and diamonds (D)
The probability of each suit is 13/52 or 1/4
In the first draw, there will be 4 branches, each leading to one suit and each will have a probability of 1/4.
In the second draw, each of the branches after the first draw will have 4 more branches coming out of them, each will again have a probability of 1/4.

2.
A fair die means that there will be 6 initial branches, with the probability of 1/6 for each.
The toss of a coin means that each branch will have 2 branches in front of it, and each of these branches will lead to either heads or tails, with a 1/2 probability of each.