find the total number of outcome in the following experiment 1.rolling die 2.choosing a card on a deck 3.flipping a coin 4.tossing three coins simultaneously 5.rolling a die and tossing a coin silmultaneously
1. There are 6 numbers in a dice, therefore you will have 6 possible outcomes
2. you have 4 types of cards club, heart, spade, diamond each of those types have 13 cards (ace-10 jack queen king) therefore 13 x 2 = 52
3. there are only two since you only have options between head or tail
4. you have 3 heads and 3 tails, distribute it to each one. {HHH} {TTT} {HTT} {HHT} {THH} {TTH} {HTH} {THT} = 8 possible outcomes (can also be 2^3 2 outcomes and 3 coins)
5. like number 4, distribute to each one. a dice has 6 outcomes, a coin has 2, {H,1} {H,2} {H,3} {H,4} {H,5} {H,6} {T,1} {T,2} {T,3} {T,4} {T,5} {T,6} = 12 outcomes, can also be 6 x 2 = 12
Answers & Comments
Answer:
1. 6
2. 52
3. 2
4. 8
5. 12
Step-by-step explanation:
1. There are 6 numbers in a dice, therefore you will have 6 possible outcomes
2. you have 4 types of cards club, heart, spade, diamond each of those types have 13 cards (ace-10 jack queen king) therefore 13 x 2 = 52
3. there are only two since you only have options between head or tail
4. you have 3 heads and 3 tails, distribute it to each one. {HHH} {TTT} {HTT} {HHT} {THH} {TTH} {HTH} {THT} = 8 possible outcomes (can also be 2^3 2 outcomes and 3 coins)
5. like number 4, distribute to each one. a dice has 6 outcomes, a coin has 2, {H,1} {H,2} {H,3} {H,4} {H,5} {H,6} {T,1} {T,2} {T,3} {T,4} {T,5} {T,6} = 12 outcomes, can also be 6 x 2 = 12