Question

In a game, a single event consists of fair six-sided die begin thrown followed by flip of a fair two-sided coin.

a. state the number of possible outcome in the sample space

b. find the probability that a single randomly-selected turn will be include the coin toss coming up "heads"

c.find the probability that a single randomly - selected turn in include a "6" coming up on the die

d.find the probability that a single randomly-selected turn will include a "6" showing on the die OR a "head" coming up on the tossed coins.

e. find the probability that a single randomly selected turn will include a "3" showing on the die AND a "tail" coming up on the tossed coin.

Answer 1

9-) no. of sides of dice=6 no. of faces of coin =2 The event consist of throwing a dice and flipping coin, thus total no. of possible events - 6x2 = 12 b.) no. of events with heats "heads" on com. = 6 as we're fining head on coin, but there are still Sin possibilities for dice hence P(toss coming up heads IF Tă. o no. given that selected turn has 6 on a dice then the possible events are (6, head) and (6 tail) this no. of possible events =2 hence P(6 on die) = 2/2 = t í d.) p (head or 6)= P(head) *P(6)- Plhead and 6) 5 ] + = - ==- -Tę e-) Here both the outcomes are fired ine head an coin and "3" on die, thus there is only one such event, hence Pleaders are and 3) = the